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LUCAS SEQUENCE

  • Lucas sequence
  • Certain constant-recursive integer sequences

    superset of Fermat numbers (see below). Lucas sequences are named after the French mathematician Édouard Lucas. Given two integer parameters P {\displaystyle

    Lucas sequence

    Lucas_sequence

  • Lucas number
  • Infinite integer series where the next number is the sum of the two preceding it

    The Lucas sequence is an integer sequence named after the mathematician François Édouard Anatole Lucas (1842–1891), who studied both that sequence and

    Lucas number

    Lucas number

    Lucas_number

  • Fibonacci sequence
  • Numbers obtained by adding the two previous ones

    related to Lucas numbers, which obey the same recurrence relation and with the Fibonacci numbers form a complementary pair of Lucas sequences. The Fibonacci

    Fibonacci sequence

    Fibonacci sequence

    Fibonacci_sequence

  • Pell number
  • Number used to approximate the square root of 2

    derived from it to John Pell. The Pell–Lucas numbers are also named after Édouard Lucas, who studied sequences defined by recurrences of this type; the

    Pell number

    Pell number

    Pell_number

  • Lucas pseudoprime
  • Probabilistic test for the primality of an integer

    numbers pass: in this case, criteria relative to some Lucas sequence. Baillie and Wagstaff define Lucas pseudoprimes as follows: Given integers P and Q, where

    Lucas pseudoprime

    Lucas_pseudoprime

  • Édouard Lucas
  • French mathematician (1842–1891)

    study of the Fibonacci sequence and the Tower of Hanoi. The related Lucas sequences and Lucas numbers are named after him. Lucas was born in Amiens and

    Édouard Lucas

    Édouard Lucas

    Édouard_Lucas

  • Generalizations of Fibonacci numbers
  • Mathematical sequences

    the Lucas sequence is the second row. See also Fibonacci integer sequences modulo n. A different generalization of the Fibonacci sequence is the Lucas sequences

    Generalizations of Fibonacci numbers

    Generalizations_of_Fibonacci_numbers

  • Jacobsthal number
  • Numbers in a type of Lucas sequence

    integer sequence named after the German mathematician Ernst Jacobsthal. Like the related Fibonacci numbers, they are a specific type of Lucas sequence U n

    Jacobsthal number

    Jacobsthal_number

  • Lucas
  • Topics referred to by the same term

    Look up Lucas in Wiktionary, the free dictionary. Lucas or LUCAS may refer to: Lucas (surname) Lucas (given name) Luca Family Singers, or the Lucas, a 19th-century

    Lucas

    Lucas

  • Lucas–Lehmer–Riesel test
  • Primality test for certain numbers

    algorithm is very similar to the Lucas–Lehmer test, but with a variable starting point depending on the value of k. Define a sequence ui for all i > 0 by: u i

    Lucas–Lehmer–Riesel test

    Lucas–Lehmer–Riesel_test

  • Carmichael's theorem
  • On prime divisors in Fibonacci and Lucas sequences

    mathematician R. D. Carmichael, states that, for any nondegenerate Lucas sequence of the first kind Un(P, Q) with relatively prime parameters P, Q and

    Carmichael's theorem

    Carmichael's_theorem

  • Fibonacci polynomials
  • Sequence of polynomials defined recursively

    polynomial sequence which can be considered as a generalization of the Fibonacci numbers. The polynomials generated in a similar way from the Lucas numbers

    Fibonacci polynomials

    Fibonacci_polynomials

  • Lehmer sequence
  • Lehmer sequence U n ( R , Q ) {\displaystyle U_{n}({\sqrt {R}},Q)} or V n ( R , Q ) {\displaystyle V_{n}({\sqrt {R}},Q)} is a generalization of a Lucas sequence

    Lehmer sequence

    Lehmer_sequence

  • George Lucas
  • American filmmaker and philanthropist (born 1944)

    the Indiana Jones franchise, and founded Lucasfilm, LucasArts, Industrial Light & Magic and THX. Lucas also served as chairman of Lucasfilm before selling

    George Lucas

    George Lucas

    George_Lucas

  • Constant-recursive sequence
  • Infinite sequence of numbers satisfying a linear equation

    F_{6}=F_{5}+F_{4}=5+3=8} . The sequence 2, 1, 3, 4, 7, 11, ... of Lucas numbers satisfies the same recurrence as the Fibonacci sequence but with initial conditions

    Constant-recursive sequence

    Constant-recursive sequence

    Constant-recursive_sequence

  • Wall–Sun–Sun prime
  • Type of prime number conjectured to exist

    the p {\displaystyle p} -th Lucas number. McIntosh and Roettger establish several equivalent characterizations of Lucas–Wieferich primes. In particular

    Wall–Sun–Sun prime

    Wall–Sun–Sun_prime

  • Perrin number
  • Number sequence 3,0,2,3,2,5,5,7,10,...

    Perrin [fr], bear the same relationship to the Padovan sequence as the Lucas numbers do to the Fibonacci sequence. The Perrin numbers are defined by the recurrence

    Perrin number

    Perrin number

    Perrin_number

  • List of prime numbers
  • 503, 509, 541, 571, 577, 593 (OEIS: A001913) Lucas primes are primes that appear in the Lucas sequence. 2, 3, 7, 11, 29, 47, 199, 521, 2207, 3571, 9349

    List of prime numbers

    List_of_prime_numbers

  • Golden ratio
  • Number, approximately 1.618

    The sequence of Lucas numbers (not to be confused with the generalized Lucas sequences, of which this is part) is like the Fibonacci sequence, in that

    Golden ratio

    Golden ratio

    Golden_ratio

  • Marcia Lucas
  • American film editor (1945–2026)

    as assistant editors, including George Lucas. The following spring, the newly engaged Marcia moved in with Lucas at his hilltop apartment on Portola Drive

    Marcia Lucas

    Marcia_Lucas

  • Mersenne prime
  • Prime number of the form 2^n – 1

    integers with m > 1 and k > 1. The Mersenne number sequence is a member of the family of Lucas sequences. It is Un(3, 2). That is, Mersenne number mn = 3mn−1

    Mersenne prime

    Mersenne_prime

  • Divisibility sequence
  • Type of integer sequence

    a_{m}\mid a_{n}} . Any Lucas sequence of the first kind Un(P, Q) is a divisibility sequence. Moreover, it is a strong divisibility sequence when gcd(P, Q) =

    Divisibility sequence

    Divisibility_sequence

  • Somer–Lucas pseudoprime
  • Type of odd composite number

    and composite number N is a Somer–Lucas d-pseudoprime (with given d ≥ 1) if there exists a nondegenerate Lucas sequence U ( P , Q ) {\displaystyle U(P,Q)}

    Somer–Lucas pseudoprime

    Somer–Lucas_pseudoprime

  • Lucas (surname)
  • Surname list

    of a Lucas sequence) Hippolyte Lucas (1814–1899), French entomologist John Lucas (philosopher) (1929–2020), British philosopher Robert Lucas Jr. (1937–2023)

    Lucas (surname)

    Lucas_(surname)

  • Zsigmondy's theorem
  • On prime divisors of differences two nth powers

    Lucas sequence or a Lehmer sequence, then Z ( a n ) ⊆ { 1 ≤ n ≤ 30 } {\displaystyle {\mathcal {Z}}(a_{n})\subseteq \{1\leq n\leq 30\}} (see (sequence

    Zsigmondy's theorem

    Zsigmondy's_theorem

  • THX 1138
  • 1971 film by George Lucas

    American Zoetrope. George Lucas wrote the initial script draft based on his earlier short film, but Francis Ford Coppola and Lucas agreed that it was unsatisfactory

    THX 1138

    THX_1138

  • Williams's p + 1 algorithm
  • Integer factorization algorithm

    algorithm. Choose some integer A greater than 2 which characterizes the Lucas sequence: V 0 = 2 , V 1 = A , V j = A V j − 1 − V j − 2 {\displaystyle V_{0}=2

    Williams's p + 1 algorithm

    Williams's_p_+_1_algorithm

  • Primality certificate
  • Proof that a number is prime

    been adapted to the calculation of Lucas sequence terms, which is used in the deterministic Lucas–Lehmer and Lucas–Lehmer–Riesel tests. This type of certificate

    Primality certificate

    Primality_certificate

  • List of recreational number theory topics
  • consolidated theories. Integer sequence Fibonacci sequence Golden mean base Fibonacci coding Lucas sequence Padovan sequence Figurate numbers Polygonal number

    List of recreational number theory topics

    List_of_recreational_number_theory_topics

  • Solving quadratic equations with continued fractions
  • Procedure to solve equations of second degree

    preceding denominator to form the new numerator. This sequence of denominators is a particular Lucas sequence known as the Pell numbers. We can gain further

    Solving quadratic equations with continued fractions

    Solving_quadratic_equations_with_continued_fractions

  • Practical number
  • Number whose sums of distinct divisors represent all smaller numbers

    {\displaystyle Cn/\log n} of the first n {\displaystyle n} terms of every Lucas sequence are practical numbers, where C > 0 {\displaystyle C>0} is a constant

    Practical number

    Practical number

    Practical_number

  • Frobenius pseudoprime
  • Type of pseudoprime

    sequence is a Fermat pseudoprime to base 5 as well as a Lucas (3, −5) pseudoprime, but the converse is not true: 642,001 is both a psp-5 and a Lucas (3

    Frobenius pseudoprime

    Frobenius_pseudoprime

  • List of integer sequences
  • is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to OEIS

    List of integer sequences

    List_of_integer_sequences

  • The Human Centipede 2 (Full Sequence)
  • 2011 film by Tom Six

    The Human Centipede 2 (Full Sequence) is a 2011 psychological body horror film written, directed, and co-produced by Tom Six. An international co-production

    The Human Centipede 2 (Full Sequence)

    The_Human_Centipede_2_(Full_Sequence)

  • Last universal common ancestor
  • Ancestor of all current life on Earth

    Chevallot-Beroux, Elodie; Lethuillier-Karl, Lucas; Li, Guang; Moran, Joseph (2 October 2017). "Metals promote sequences of the reverse Krebs cycle". Nature Ecology

    Last universal common ancestor

    Last universal common ancestor

    Last_universal_common_ancestor

  • Silver ratio
  • Number, approximately 2.41421

    numbers below 109 that pass the Pell-Lucas test. This compares favourably to the number of odd Fibonacci, Pell, Lucas-Selfridge or base-2 Fermat pseudoprimes

    Silver ratio

    Silver ratio

    Silver_ratio

  • International Conference on Fibonacci Numbers and their Applications
  • Mathematics conference

    first Édouard Lucas Memorial Lecture was given at the 13th ICFNTA. The Lecture is named in honor of Édouard Lucas, for whom the Lucas sequence is named. "The

    International Conference on Fibonacci Numbers and their Applications

    International_Conference_on_Fibonacci_Numbers_and_their_Applications

  • Heronian triangle
  • Triangle whose side lengths and area are integers

    n_{t}=4n_{t-1}-n_{t-2}\,,} where t denotes any row in the table. This is a Lucas sequence. Alternatively, the formula ( 2 + 3 ) t + ( 2 − 3 ) t {\displaystyle

    Heronian triangle

    Heronian_triangle

  • Lucas–Lehmer primality test
  • Test if a Mersenne number is prime

    mathematics, the Lucas–Lehmer test (LLT) is a primality test for Mersenne numbers. The test was originally developed by Édouard Lucas in 1878 and subsequently

    Lucas–Lehmer primality test

    Lucas–Lehmer primality test

    Lucas–Lehmer_primality_test

  • Brahmagupta polynomials
  • Class of polynomials related to Brahmagupta's identity

    2y_{n}=F_{n}} is the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... 2 x n = L n {\displaystyle 2x_{n}=L_{n}} is the Lucas sequence 2, 1, 3, 4, 7, 11, 18

    Brahmagupta polynomials

    Brahmagupta_polynomials

  • Indiana Jones and the Temple of Doom
  • 1984 film by Steven Spielberg

    producer and story writer George Lucas decided to regard this film as a prequel. Three plot devices were rejected before Lucas wrote a film treatment that

    Indiana Jones and the Temple of Doom

    Indiana_Jones_and_the_Temple_of_Doom

  • Luc
  • Topics referred to by the same term

    Loyola University Chicago Land-use change LUC, cryptosystem based on Lucas sequences Château de Luc, a French castle-ruin in the town of Luc in the Lozère

    Luc

    Luc

  • Supersilver ratio
  • Number, approximately 2.20557

    52, 115, 254, 560, 1235, 2724, 6008,... (sequence A332647 in the OEIS). This third-order Pell-Lucas sequence has the Fermat property: if p is prime, A

    Supersilver ratio

    Supersilver ratio

    Supersilver_ratio

  • Indiana Jones and the Last Crusade
  • 1989 film by Steven Spielberg

    suggested introducing Indiana's father, though he did not tell Lucas at first. Consequently, Lucas wrote the role as "a crazy, eccentric" professor resembling

    Indiana Jones and the Last Crusade

    Indiana_Jones_and_the_Last_Crusade

  • List of Mersenne primes and perfect numbers
  • computer that made the discovery. New Mersenne primes are found using the Lucas–Lehmer test (LLT), a primality test for Mersenne primes that is efficient

    List of Mersenne primes and perfect numbers

    List of Mersenne primes and perfect numbers

    List_of_Mersenne_primes_and_perfect_numbers

  • Willow (1988 film)
  • Film by Ron Howard

    Wooll. The film was executive produced by George Lucas and written by Bob Dolman from a story by Lucas. The film stars Warwick Davis as the title character

    Willow (1988 film)

    Willow_(1988_film)

  • Cosby (TV series)
  • American television sitcom (1996–2000)

    cast as Ruth Lucas; however, she was recast after she reacted poorly to Cosby's tendency to ad lib. The couple had one daughter, Erica Lucas, initially

    Cosby (TV series)

    Cosby_(TV_series)

  • Polynomial sequence
  • Sequence valued in polynomials

    polynomials Lagrange polynomials Lucas polynomials Spread polynomials Touchard polynomials Rook polynomials Polynomial sequences of binomial type Orthogonal

    Polynomial sequence

    Polynomial_sequence

  • Legendre symbol
  • Function in number theory

    &F_{10}&=55,&F_{11}&=89.\end{aligned}}} This result comes from the theory of Lucas sequences, which are used in primality testing. See Wall–Sun–Sun prime. Sums

    Legendre symbol

    Legendre_symbol

  • 29 (number)
  • Natural number

    Retrieved 2016-05-31. "Sloane's A005479 : Prime Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31. "Sloane's

    29 (number)

    29_(number)

  • 2000 (number)
  • Natural number

    Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A006972 (Lucas-Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS

    2000 (number)

    2000_(number)

  • Lucas North
  • Fictional character from Spooks

    former brilliance. Lucas North is a main character in the seventh, eighth, and ninth series; the ninth series reveals that Lucas "isn't who you think

    Lucas North

    Lucas_North

  • Integer sequence
  • Ordered list of whole numbers

    In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. An integer sequence may be specified explicitly by giving a formula

    Integer sequence

    Integer sequence

    Integer_sequence

  • Ribet's theorem
  • Result concerning properties of Galois representations associated with modular forms

    original on 2008-12-10. Silliman, Jesse; Vogt, Isabel (2015). "Powers in Lucas Sequences via Galois Representations". Proceedings of the American Mathematical

    Ribet's theorem

    Ribet's_theorem

  • 323 (number)
  • Natural number

    Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A217120 (Lucas pseudoprimes.)". The On-Line Encyclopedia of Integer Sequences. OEIS

    323 (number)

    323_(number)

  • Göbel's sequence
  • Sequence of rational numbers

    In mathematics, a Göbel sequence is a sequence of rational numbers defined by the recurrence relation x n = x 0 2 + x 1 2 + ⋯ + x n − 1 2 n − 1 , {\displaystyle

    Göbel's sequence

    Göbel's_sequence

  • Lucasfilm Games
  • American video game company

    the Games Group worked from Lucas' Skywalker Ranch near Nicasio, California. In 1990, in a reorganization of the Lucas companies, the Games Division

    Lucasfilm Games

    Lucasfilm_Games

  • American Graffiti
  • 1973 film by George Lucas

    coming-of-age comedy-drama film directed by George Lucas, produced by Francis Ford Coppola, written by Lucas, Gloria Katz, and Willard Huyck, and starring

    American Graffiti

    American_Graffiti

  • Binomial number
  • y {\displaystyle x-y} first. Binomial numbers formed this way form Lucas sequences. Specifically: U n ( a + b , a b ) = a n − b n a − b , {\displaystyle

    Binomial number

    Binomial_number

  • Kaprekar's routine
  • Iterative algorithm on numbers

    -\beta } to produce the next number of the sequence. Repeat step 2. The sequence is called a Kaprekar sequence and the function K b ( n ) = α − β {\displaystyle

    Kaprekar's routine

    Kaprekar's_routine

  • Pre-main-sequence star
  • Star in the stage when it has not yet reached the main sequence

    A pre-main-sequence star (also known as a PMS star and PMS object) is a star in the stage when it has not yet reached the main sequence. Earlier in its

    Pre-main-sequence star

    Pre-main-sequence star

    Pre-main-sequence_star

  • Pseudorandom binary sequence
  • Seemingly random, difficult to predict bit stream created by a deterministic algorithm

    A pseudorandom binary sequence (PRBS), pseudorandom binary code or pseudorandom bitstream is a binary sequence that, while generated with a deterministic

    Pseudorandom binary sequence

    Pseudorandom_binary_sequence

  • Probable prime
  • Integers that satisfy a specific condition

    base, but not vice versa. There are also Lucas probable primes, which are based on Lucas sequences. A Lucas probable prime test can be used alone. The

    Probable prime

    Probable_prime

  • Star Wars: Episode I – The Phantom Menace
  • 1999 film by George Lucas

    1980s, Lucas said he had no desire to return to Star Wars and had canceled his sequel trilogy by the time of Return of the Jedi. However, because Lucas had

    Star Wars: Episode I – The Phantom Menace

    Star_Wars:_Episode_I_–_The_Phantom_Menace

  • Howard the Duck (film)
  • 1986 American superhero comedy film by Willard Huyck

    [citation needed] George Lucas attended film school with Willard Huyck and Gloria Katz, who later co-wrote American Graffiti with Lucas. After the film's production

    Howard the Duck (film)

    Howard_the_Duck_(film)

  • Chebyshev polynomials
  • Pair of polynomial sequences

    of the first and second kinds correspond to a complementary pair of Lucas sequences V ~ n ( P , Q ) {\displaystyle {\tilde {V}}_{n}(P,Q)} and U ~ n ( P

    Chebyshev polynomials

    Chebyshev polynomials

    Chebyshev_polynomials

  • 1000 (number)
  • sequence, because its base-4 representation (1000014) contains only digits 0 and 1, or it's a sum of distinct powers of 4 (45 + 40); Jacobsthal-Lucas

    1000 (number)

    1000_(number)

  • Anne Lucas
  • Australian actress

    Mary Anne Elizabeth Lucas (born c. July 1946) billed also as Annie Lucas, is an Australian actress and TV screenwriter and script editor, her roles on

    Anne Lucas

    Anne_Lucas

  • Composite number
  • Integer having a non-trivial divisor

    15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36. (sequence A002808 in the OEIS) Every composite number can be written as the product

    Composite number

    Composite number

    Composite_number

  • Return of the Jedi
  • 1983 film directed by Richard Marquand

    director. The production team relied on Lucas' storyboards during pre-production. While writing the shooting script, Lucas, Kasdan, Marquand, and producer Howard

    Return of the Jedi

    Return_of_the_Jedi

  • Catalan number
  • Recursive integer sequence

    The Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named

    Catalan number

    Catalan number

    Catalan_number

  • 500 (number)
  • Natural number

    "Sequence A001606 (Indices of prime Lucas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. that is, a term of the sequence OEIS: A034961

    500 (number)

    500_(number)

  • Lucas chain
  • Restricted type of addition chain

    mathematics, a Lucas chain is a restricted type of addition chain, named for the French mathematician Édouard Lucas. It is a sequence a 0 , a 1 , a 2

    Lucas chain

    Lucas_chain

  • Dickson polynomial
  • \end{aligned}}} By the recurrence relation above, Dickson polynomials are Lucas sequences. Specifically, for α = −1, the Dickson polynomials of the first kind

    Dickson polynomial

    Dickson_polynomial

  • Fermat number
  • Positive integer of the form (2^(2^n))+1

    exponential function Lucas' theorem Mersenne prime Pierpont prime Primality test Proth's theorem Pseudoprime Sierpiński number Sylvester's sequence For any positive

    Fermat number

    Fermat_number

  • Aronson's sequence
  • Sequence of numbers

    Aronson's sequence is an integer sequence defined by the English sentence "T is the first, fourth, eleventh, sixteenth, ... letter in this sentence."

    Aronson's sequence

    Aronson's_sequence

  • 257 (number)
  • Natural number

    "Sequence A014551 (Jacobsthal-Lucas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000040

    257 (number)

    257_(number)

  • List of Fame (1982 TV series) episodes
  • fortune and with Ian's affection annoying Reggie, the fight in the opening sequence begins. After damaging the violin, Mr. Shorfosky reveals that the violin

    List of Fame (1982 TV series) episodes

    List_of_Fame_(1982_TV_series)_episodes

  • American Gangster (film)
  • 2007 film by Ridley Scott

    as Frank Lucas Russell Crowe as Richie Roberts Josh Brolin as Detective Nick Trupo Chiwetel Ejiofor as Huey Lucas Ruby Dee as Mahalee Lucas, Frank's mother

    American Gangster (film)

    American_Gangster_(film)

  • Calkin–Wilf tree
  • Binary tree of rational numbers

    Mundi. The sequence of rational numbers in a breadth-first traversal of the Calkin–Wilf tree is known as the Calkin–Wilf sequence. Its sequence of numerators

    Calkin–Wilf tree

    Calkin–Wilf tree

    Calkin–Wilf_tree

  • Indiana Jones and the Dial of Destiny
  • 2023 film directed by James Mangold

    It was initially reported that Lucas would not be involved in the project, although Spielberg later said that Lucas would serve as an executive producer:

    Indiana Jones and the Dial of Destiny

    Indiana_Jones_and_the_Dial_of_Destiny

  • Superman (2025 film)
  • DC Studios film by James Gunn

    from the original on March 16, 2024. Retrieved March 16, 2024. Manfredi, Lucas (May 18, 2023). "David Zaslav Hails New DC Chief James Gunn: 'Everybody

    Superman (2025 film)

    Superman_(2025_film)

  • Lucas–Carmichael number
  • Type of positive composite integer

    otherwise would be Lucas–Carmichael numbers (since n3 + 1 = (n + 1)(n2 − n + 1) is always divisible by n + 1). They are named after Édouard Lucas and Robert Carmichael

    Lucas–Carmichael number

    Lucas–Carmichael_number

  • 76 (number)
  • Natural number

    Wythoff constructions. "Sloane's A000032 : Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29. "Sloane's

    76 (number)

    76_(number)

  • Soo Catwoman
  • British punk icon (1954–2025)

    70. Her two children, Dion October Lucas and Shem Lucas, are both musicians. As punk became more widely known, Lucas became one of its most iconic images

    Soo Catwoman

    Soo_Catwoman

  • Double Mersenne number
  • Number of form 2^(2^p-1)-1 with prime exponent

    Catalan discovered this sequence after the discovery of the primality of M 127 = c 4 {\displaystyle M_{127}=c_{4}} by Lucas in 1876.p. 22 Catalan conjectured

    Double Mersenne number

    Double_Mersenne_number

  • Full Throttle (1995 video game)
  • 1995 video game

    in-house game engine, SCUMM. It featured full-motion video and action sequences, using LucasArts' INSANE animation engine, which was previously utilized in Star

    Full Throttle (1995 video game)

    Full_Throttle_(1995_video_game)

  • The Mandalorian and Grogu
  • 2026 Star Wars film by Jon Favreau

    critics praising the score, while criticizing the plot, visuals, and action sequences. Mandalorian bounty hunter Din Djarin, known as Mando, and his foundling

    The Mandalorian and Grogu

    The_Mandalorian_and_Grogu

  • Power of 10
  • Ten raised to an integer power

    ten are: 1, 10, 100, 1,000, 10,000, 100,000, 1,000,000, 10,000,000... (sequence A011557 in the OEIS) In decimal notation the nth power of ten is written

    Power of 10

    Power of 10

    Power_of_10

  • Deaths in September 2025
  • alphabetically by surname. A typical entry lists information in the following sequence: Name, age, country of citizenship at birth, subsequent country of citizenship

    Deaths in September 2025

    Deaths_in_September_2025

  • Lucas–Kanade method
  • Computer vision technique for optical flow estimation

    computer vision, the Lucas–Kanade method is a widely used differential method for optical flow estimation developed by Bruce D. Lucas and Takeo Kanade. It

    Lucas–Kanade method

    Lucas–Kanade_method

  • Dan Perri
  • American title sequence designer

    director George Lucas, who invited Perri to Industrial Light & Magic, Lucasfilm's post-production operation at Van Nuys, California. Lucas briefed Perri

    Dan Perri

    Dan_Perri

  • Star Wars: Shadows of the Empire (video game)
  • 1996 video game

    types of vehicular combat and third-person shooting sequences. A version for Windows was released by LucasArts in 1997. The player controls the mercenary Dash

    Star Wars: Shadows of the Empire (video game)

    Star_Wars:_Shadows_of_the_Empire_(video_game)

  • Baillie–PSW primality test
  • Probabilistic primality testing algorithm

    29341, 42799, 49141, and 52633 (sequence A001262 in the OEIS). The first ten strong Lucas pseudoprimes (with Lucas parameters (P, Q) defined by Selfridge's

    Baillie–PSW primality test

    Baillie–PSW_primality_test

  • Padovan sequence
  • Sequence of integers

    In number theory, the Padovan sequence is the sequence of integers P(n) defined by the initial values: P ( 0 ) = P ( 1 ) = P ( 2 ) = 1 , {\displaystyle

    Padovan sequence

    Padovan sequence

    Padovan_sequence

  • Pillai sequence
  • Sequence of integers

    The Pillai sequence is the sequence of integers that have record numbers of terms in their greedy representations as sums of prime numbers (and one). It

    Pillai sequence

    Pillai_sequence

  • Star Wars: The Clone Wars
  • 2008 American TV series or program

    early as 2004. Lucas hired supervising director Dave Filoni after seeing his work on the first season of Avatar: The Last Airbender. Lucas worked closely

    Star Wars: The Clone Wars

    Star Wars: The Clone Wars

    Star_Wars:_The_Clone_Wars

  • 313 (number)
  • Natural number

    Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02. Sloane, N. J. A. (ed.). "Sequence A001606 (Indices of prime Lucas numbers)". The On-Line

    313 (number)

    313_(number)

  • Star Wars (film)
  • 1977 film by George Lucas

    filming was under way, Lucas and Taylor had many disputes. Lucas' lighting suggestions were rejected by Taylor, who believed Lucas was overstepping his

    Star Wars (film)

    Star_Wars_(film)

  • American Gothic (1995 TV series)
  • CBS single season TV horror story

    his image. Cole appears in all 22 episodes. Lucas Black as Caleb Temple, an orphan often tempted by Lucas, his biological father, to join him, but, with

    American Gothic (1995 TV series)

    American_Gothic_(1995_TV_series)

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LUCAS SEQUENCE

  • Lucas
  • Boy/Male

    American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Greek, Hebrew, Indian, Irish, Jamaican, Latin, Polish, Portuguese, Swedish, Swiss, Telugu

    Lucas

    Bringer of Light; A Region of Southern Italy; Man from Lucania; Light

    Lucas

  • Lucaas
  • Boy/Male

    Latin

    Lucaas

    Light.

    Lucaas

  • Luca
  • Girl/Female

    Australian, German, Italian, Latin, Swedish

    Luca

    From Lucania

    Luca

  • Lucks
  • Surname or Lastname

    English

    Lucks

    English : patronymic from Luck 1.Dutch (Luckx) : patronymic from Lucas.Possibly an altered spelling of German Luchs.

    Lucks

  • Lucan
  • Boy/Male

    Anglo, Australian, British, English, French, Irish, Italian, Latin

    Lucan

    Joins; Light; From Luciana

    Lucan

  • LUCAS
  • Male

    Arthurian

    LUCAS

    , (Sir), butler to Arthur.

    LUCAS

  • Luhas
  • Boy/Male

    Indian, Telugu

    Luhas

    Beloved by Lord Vishnu

    Luhas

  • Lucas
  • Boy/Male

    Gaelic American Biblical English Greek Latin

    Lucas

    Light.

    Lucas

  • Lucas
  • Biblical

    Lucas

    Lucius, luminous; white

    Lucas

  • Lukas
  • Boy/Male

    Latin American Swedish

    Lukas

    Light.

    Lukas

  • LUKAS
  • Male

    German

    LUKAS

    German form of Latin Lucas, LUKAS means "from Lucania."

    LUKAS

  • Lucas
  • Surname or Lastname

    English, French, Spanish, Portuguese, Dutch, etc.

    Lucas

    English, French, Spanish, Portuguese, Dutch, etc. : from the Latin personal name Lucas (Greek Loukas) ‘man from Lucania’. Lucania is a region of southern Italy thought to have been named in ancient times with a word meaning ‘bright’ or ‘shining’. Compare Lucio. The Christian name owed its enormous popularity throughout Europe in the Middle Ages to St. Luke the Evangelist, hence the development of this surname and many vernacular derivatives in most of the languages of Europe. Compare Luke. This is also found as an Americanized form of Greek Loukas.Scottish : reduced Anglicized form of Gaelic Mac Lùcais (see McLucas).As a French name Lucas has been recorded in Canada since 1653, taken to Trois Rivières, Quebec, by one Lucas-Lépine from Normandy.

    Lucas

  • LUCAS
  • Male

    English

    LUCAS

    Contracted form of Latin Lucanus, LUCAS means "from Lucania," a region of southern Italy. Lucania probably comes from the word lux, meaning "light." In the bible, this is the name of a Gentile Christian who was a companion of Paul. Luke is the Anglicized form.

    LUCAS

  • LUCAN
  • Male

    Arthurian

    LUCAN

    , (Sir), butler to Arthur.

    LUCAN

  • LUCA
  • Male

    Italian

    LUCA

    Italian form of Latin Lucas, LUCA means "from Lucania." In use by the Romani.

    LUCA

  • Luca
  • Boy/Male

    American, Australian, British, Chinese, English, French, German, Italian, Jamaican, Latin, Swiss

    Luca

    Light; Man from Lucania; Bringer of Light

    Luca

  • Lucas, Luke
  • Boy/Male

    Christian & English(British/American/Australian)

    Lucas, Luke

    Luminous

    Lucas, Luke

  • Lucan
  • Boy/Male

    Italian Anglo Saxon Arthurian Legend

    Lucan

    Light.

    Lucan

  • Lukas
  • Boy/Male

    American, Australian, Chinese, Czechoslovakian, Danish, Dutch, Finnish, French, German, Greek, Latin, Swedish

    Lukas

    Light; A Region of Southern Italy; Man from Lucania; Bringer of Light

    Lukas

  • Lucas
  • Girl/Female

    Biblical

    Lucas

    Luminous, white.

    Lucas

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LUCAS SEQUENCE

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LUCAS SEQUENCE

  • Straight
  • n.

    A hand of five cards in consecutive order as to value; a sequence. When they are of one suit, it is calles straight flush.

  • Tierce
  • n.

    A sequence of three playing cards of the same suit. Tierce of ace, king, queen, is called tierce-major.

  • Sequence
  • n.

    Simple succession, or the coming after in time, without asserting or implying causative energy; as, the reactions of chemical agents may be conceived as merely invariable sequences.

  • Succession
  • n.

    The act of succeeding, or following after; a following of things in order of time or place, or a series of things so following; sequence; as, a succession of good crops; a succession of disasters.

  • Sequence
  • n.

    Any succession of chords (or harmonic phrase) rising or falling by the regular diatonic degrees in the same scale; a succession of similar harmonic steps.

  • Sequence
  • n.

    A hymn introduced in the Mass on certain festival days, and recited or sung immediately before the gospel, and after the gradual or introit, whence the name.

  • Sequent
  • n.

    That which follows as a result; a sequence.

  • Heterochrony
  • n.

    In evolution, a deviation from the typical sequence in the formation of organs or parts.

  • Sequence
  • n.

    Three or more cards of the same suit in immediately consecutive order of value; as, ace, king, and queen; or knave, ten, nine, and eight.

  • Sequacious
  • a.

    Having or observing logical sequence; logically consistent and rigorous; consecutive in development or transition of thought.

  • Seriality
  • n.

    The quality or state of succession in a series; sequence.

  • Sequence
  • n.

    All five cards, of a hand, in consecutive order as to value, but not necessarily of the same suit; when of one suit, it is called a sequence flush.

  • Series
  • n.

    A number of things or events standing or succeeding in order, and connected by a like relation; sequence; order; course; a succession of things; as, a continuous series of calamitous events.

  • Straight
  • superl.

    Composed of cards which constitute a regular sequence, as the ace, king, queen, jack, and ten-spot; as, a straight hand; a straight flush.

  • Necessitarianism
  • n.

    The doctrine of philosophical necessity; the doctrine that results follow by invariable sequence from causes, and esp. that the will is not free, but that human actions and choices result inevitably from motives; deteminism.

  • Sequence
  • n.

    A melodic phrase or passage successively repeated one tone higher; a rosalia.

  • Sequence
  • n.

    That which follows or succeeds as an effect; sequel; consequence; result.

  • Rosalia
  • n.

    A form of melody in which a phrase or passage is successively repeated, each time a step or half step higher; a melodic sequence.

  • Corona
  • n.

    A crown or circlet suspended from the roof or vaulting of churches, to hold tapers lighted on solemn occasions. It is sometimes formed of double or triple circlets, arranged pyramidically. Called also corona lucis.

  • Sequence
  • n.

    The state of being sequent; succession; order of following; arrangement.