• Thumbnail for Sylvester's sequence
    113423713055421844361000443 (sequence A000058 in the OEIS). Sylvester's sequence is named after James Joseph Sylvester, who first investigated it in 1880...
    23 KB (2,708 words) - 03:33, 8 May 2025
  • lines. Sylvester matroid, a matroid without any two-point lines. Sylvester's determinant identity. Sylvester's matrix theorem, a.k.a. Sylvester's formula...
    5 KB (517 words) - 00:34, 3 January 2025
  • non-greedy representation, ⁠1/12⁠ + ⁠1/63⁠ + ⁠1/2799⁠ + ⁠1/8708⁠. Sylvester's sequence 2, 3, 7, 43, 1807, ... (OEIS: A000058) can be viewed as generated...
    16 KB (2,131 words) - 21:40, 9 December 2024
  • Thumbnail for James Joseph Sylvester
    geometry he is remembered for Sylvester's problem and a result on the orchard problem, and in matrix theory he discovered Sylvester's determinant identity, which...
    21 KB (2,092 words) - 07:27, 11 May 2025
  • 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...
    27 KB (27 words) - 12:20, 26 December 2024
  • Thumbnail for 1,000,000
    442 = product of the first five terms of Sylvester's sequence 3,263,443 = sixth term of Sylvester's sequence 3,276,509 = Markov prime 3,294,172 = 22×77...
    29 KB (3,841 words) - 12:11, 9 May 2025
  • 2016-05-30. Sloane, N. J. A. (ed.). "Sequence A000058 (Sylvester's sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30...
    1 KB (181 words) - 04:09, 17 April 2025
  • Thumbnail for Znám's problem
    Znám's problem (category Integer sequences)
    considered similar problems around the same time. The initial terms of Sylvester's sequence almost solve this problem, except that the last chosen term equals...
    12 KB (1,476 words) - 07:10, 22 April 2024
  • Thumbnail for Egyptian fraction
    for the fractions in the sequence ⁠1/2⁠, ⁠2/3⁠, ⁠6/7⁠, ⁠42/43⁠, ⁠1806/1807⁠, ... whose denominators form Sylvester's sequence. It has been conjectured...
    35 KB (4,778 words) - 10:44, 25 February 2025
  • A000058 : Sylvester's sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 12 June 2016. Sloane, N. J. A. (ed.). "Sequence A083186...
    146 KB (24,116 words) - 03:11, 9 May 2025
  • List of sums of reciprocals (category Theorems about real number sequences)
    the pentatope numbers is ⁠4/ 3 ⁠ . Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members...
    16 KB (2,240 words) - 18:04, 23 April 2025
  • Sylvester's law of inertia is a theorem in matrix algebra about certain properties of the coefficient matrix of a real quadratic form that remain invariant...
    9 KB (1,431 words) - 18:16, 24 August 2024
  • Thumbnail for Double exponential function
    − 1 − 1 {\displaystyle MM(p)=2^{2^{p}-1}-1} The elements of Sylvester's sequence (sequence A000058 in the OEIS) s n = ⌊ E 2 n + 1 + 1 2 ⌋ {\displaystyle...
    9 KB (1,169 words) - 00:28, 6 February 2025
  • prime factor of the 9th number in Sylvester's sequence, and is the 15th prime to divide any number in the sequence. There are 1987 polyiamonds with 12...
    939 bytes (120 words) - 20:37, 10 November 2024
  • examples include the set of all prime numbers, the set of elements in Sylvester's sequence, and the set of all Fermat numbers. Given two randomly chosen integers...
    16 KB (2,409 words) - 15:43, 27 April 2025
  • the same as the sequence of prime factors of Sylvester's sequence. Like the Euclid–Mullin sequence, this is a non-monotonic sequence of primes, but it...
    8 KB (1,050 words) - 16:33, 8 June 2024
  • "Backhouse's Constant". MathWorld. Weisstein, Eric W. "Random Fibonacci Sequence". MathWorld. Weisstein, Eric W. "Komornik-Loreti Constant". MathWorld....
    97 KB (3,567 words) - 08:20, 11 March 2025
  • infinite series of unit fractions, with alternating signs, derived from Sylvester's sequence Cahen–Mellin integral, an integral transform Albert Cahen (1846–1903)...
    919 bytes (145 words) - 04:52, 2 May 2024
  • There are only four of them: 2, 3, 7 and 43 (a sequence suspiciously similar to Sylvester's sequence). Burris & Lee (1993) found that about a fifth of...
    3 KB (368 words) - 23:15, 13 April 2021
  • Fermat number (category Integer sequences)
    prime Primality test Proth's theorem Pseudoprime Sierpiński number Sylvester's sequence For any positive odd number m {\displaystyle m} , 2 2 k m + 1 = (...
    46 KB (4,717 words) - 14:50, 21 April 2025
  • 643410546288...} (sequence A118227 in the OEIS) Here ( s i ) i ≥ 0 {\displaystyle (s_{i})_{i\geq 0}} denotes Sylvester's sequence, which is defined recursively...
    8 KB (1,811 words) - 15:46, 11 November 2024
  • mathematics, Sylvester’s criterion is a necessary and sufficient criterion to determine whether a Hermitian matrix is positive-definite. Sylvester's criterion...
    9 KB (1,588 words) - 13:42, 10 April 2025
  • {\displaystyle 2^{2^{n}}} , form an irrationality sequence. However, although Sylvester's sequence 2, 3, 7, 43, 1807, 3263443, ... (in which each term...
    5 KB (630 words) - 19:15, 29 January 2023
  • flashback sequence, young Sylvester looks like Sylvester Jr. and Sylvester's father looks like the adult Sylvester. He is seen in one of the "Mysterious Phenomenon...
    4 KB (304 words) - 11:48, 9 March 2025
  • Thumbnail for Primary pseudoperfect number
    Primary pseudoperfect number (category Integer sequences)
    (sequence A054377 in the OEIS). The first four of these numbers are one less than the corresponding numbers in Sylvester's sequence, but then...
    4 KB (542 words) - 01:54, 26 January 2024
  • Thumbnail for Fibonacci
    of Liber Abaci (Book of Calculation) and also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in Liber Abaci. Fibonacci...
    24 KB (2,263 words) - 23:00, 2 April 2025
  • produces an infinite series expansion of its input. For instance Sylvester's sequence can be viewed as generated by the odd greedy expansion of 1/2. Breusch...
    6 KB (883 words) - 06:12, 28 May 2024
  • Trip for Tat (category Sylvester the Cat films)
    the sequence where Sylvester tries to catch Tweety (wearing spoons for snowshoes) on skis, but then crashed into a tree. - In Japan, the sequence where...
    5 KB (413 words) - 05:55, 26 March 2025
  • Thumbnail for Sylvester McCoy
    James Patrick Kent-Smith (born 20 August 1943), known professionally as Sylvester McCoy, is a Scottish actor. Gaining prominence as a physical comedian...
    33 KB (2,359 words) - 06:44, 9 May 2025
  • Thumbnail for Hadamard matrix
    product. In this manner, Sylvester constructed Hadamard matrices of order 2k for every non-negative integer k. Sylvester's matrices have a number of...
    26 KB (3,717 words) - 17:24, 12 May 2025