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...
5 KB (671 words) - 01:43, 7 January 2025
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching...
46 KB (5,629 words) - 04:46, 8 July 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...
28 KB (27 words) - 19:08, 30 July 2025
positions, is a valid sequence. Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6, ...)...
40 KB (6,176 words) - 14:32, 15 July 2025
factorization of a positive integer Complex integer Hyperinteger Integer complexity Integer lattice Integer part Integer sequence Integer-valued function Mathematical...
35 KB (3,983 words) - 22:43, 2 August 2025
J. A. (ed.), "Sequence A002390 (Decimal expansion of natural logarithm of golden ratio)", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation...
85 KB (12,946 words) - 22:47, 28 July 2025
1000 (number) (category Integers)
1036 = central polygonal number 1037 = number in E-toothpick sequence 1038 = even integer that is an unordered sum of two primes in exactly 40 ways 1039...
146 KB (24,122 words) - 19:13, 30 July 2025
Collatz conjecture (redirect from Hailstone sequence)
The conjecture is that these sequences always reach 1, no matter which positive integer is chosen to start the sequence. The conjecture has been shown...
57 KB (7,117 words) - 23:34, 19 July 2025
800 (number) (category Integers)
number, the Mertens function of 812 returns 0 813 = 3 × 271, Blum integer (sequence A016105 in the OEIS) 814 = 2 × 11 × 37, sphenic number, the Mertens...
22 KB (3,911 words) - 21:29, 26 June 2025
In mathematics, a Beatty sequence (or homogeneous Beatty sequence) is the sequence of integers found by taking the floor of the positive multiples of...
13 KB (2,174 words) - 13:07, 16 January 2025
500 (number) (category Integers)
Integer Sequences. OEIS Foundation. Retrieved May 31, 2022. Sloane, N. J. A. (ed.). "Sequence A014206". The On-Line Encyclopedia of Integer Sequences...
39 KB (5,701 words) - 10:57, 25 July 2025
700 (number) (category Integers)
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A001550 (a(n) = 1^n + 2^n + 3^n)". The On-Line Encyclopedia of Integer Sequences...
28 KB (4,084 words) - 15:17, 10 July 2025
100,000 (category Integers)
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS...
29 KB (3,836 words) - 11:41, 2 August 2025
Hofstadter sequence is a member of a family of related integer sequences defined by non-linear recurrence relations. The first Hofstadter sequences were described...
12 KB (1,924 words) - 12:31, 22 January 2025
7 (category Integers)
Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01. "Sloane's A050918 : Woodall primes". The On-Line Encyclopedia of Integer Sequences. OEIS...
29 KB (2,747 words) - 19:53, 14 June 2025
23, 26, 29, 30, 31, 33, 34, 35, 37, 38, 39, ... (sequence A005117 in the OEIS) Every positive integer n {\displaystyle n} can be factored in a unique way...
24 KB (3,689 words) - 14:27, 6 May 2025
600 (number) (category Integers)
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A036057 (Friedman numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS...
24 KB (3,965 words) - 06:01, 30 July 2025
1,000,000 (category Integers)
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS...
29 KB (3,858 words) - 13:31, 2 August 2025
1,000,000,000 (category Integers)
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS...
31 KB (3,779 words) - 09:29, 26 July 2025
300 (number) (category Integers)
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A001608 (Perrin sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS...
24 KB (3,625 words) - 15:30, 30 July 2025
21 (number) (category Integers)
Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A001748". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation...
11 KB (1,428 words) - 15:46, 29 June 2025
400 (number) (category Integers)
Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences....
35 KB (5,336 words) - 13:15, 6 June 2025
70 (number) (category Integers)
tenth Erdős–Woods number, since it is possible to find sequences of seventy consecutive integers such that each inner member shares a factor with either...
11 KB (1,603 words) - 02:12, 30 July 2025
29 (number) (category Integers)
j is an integer.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2024-06-14. Sloane, N. J. A. (ed.). "Sequence A102187 (Arithmetic...
8 KB (1,133 words) - 09:08, 30 June 2025
2000 (number) (category Integers)
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS...
35 KB (5,199 words) - 03:05, 24 July 2025
Generalizations of Fibonacci numbers (redirect from Tribonacci sequence)
the Lucas sequence is the second row. See also Fibonacci integer sequences modulo n. A different generalization of the Fibonacci sequence is the Lucas...
26 KB (4,746 words) - 00:04, 8 July 2025
900 (number) (category Integers)
V-toothpicks after 31 rounds of the honeycomb sequence 940 = 22 × 5 × 47, totient sum for first 55 integers 941 = prime number, sum of three consecutive...
30 KB (3,867 words) - 20:09, 29 June 2025
Encyclopedia of Integer Sequences (OEIS). The OEIS entry for this sequence is A005132. The most-common visualization of the Recamán's sequence is simply plotting...
5 KB (621 words) - 16:35, 11 February 2025
58 (number) (category Integers)
J. A. (ed.). "Sequence A104494 (Positive integers n such that n^17 + 1 is semiprime.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation...
7 KB (954 words) - 03:49, 12 June 2025
19 (number) (category Integers)
the first 19 non-zero integers, that is also the sixth centered nonagonal number. 19 is the first number in an infinite sequence of numbers in decimal...
28 KB (3,906 words) - 17:15, 15 July 2025