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
Greedy algorithm for Egyptian fractions (redirect from Fibonacci–Sylvester expansion)
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
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
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
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
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
− 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
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
Fibonacci (redirect from Leonardo Pisano Fibonacci's Number Sequence)
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
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
Hadamard matrix (section Sylvester's construction)
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