In combinatorics, the Eulerian number A ( n , k ) {\textstyle A(n,k)} is the number of permutations of the numbers 1 to n {\textstyle n} in which exactly...
16 KB (2,420 words) - 15:12, 6 March 2024
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)...
27 KB (3,269 words) - 06:54, 4 May 2024
Permutation (redirect from Arrangement number)
the union of k ascending runs. The number of permutations of n with k ascents is (by definition) the Eulerian number ⟨ n k ⟩ {\displaystyle \textstyle...
77 KB (11,519 words) - 06:37, 9 August 2024
hundred [and] eighty-four) is the natural number following 183 and preceding 185. There are 184 different Eulerian graphs on eight unlabeled vertices, and...
2 KB (296 words) - 10:59, 22 July 2024
Fibonacci sequence (redirect from Fibonacci number)
In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci...
85 KB (12,919 words) - 17:24, 14 August 2024
List of things named after Leonhard Euler (redirect from Eulerian)
1/cosh t Eulerian numbers count certain types of permutations. Euler number (physics), the cavitation number in fluid dynamics. Euler number (algebraic...
14 KB (1,603 words) - 16:45, 2 July 2024
OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A008517 (Second-order Eulerian triangle T(n, k), 1 <= k <= n)". The On-Line Encyclopedia of Integer Sequences...
36 KB (5,422 words) - 00:57, 19 August 2024
have even degree. All Eulerian circuits are also Eulerian paths, but not all Eulerian paths are Eulerian circuits. Euler's work was presented to the St...
15 KB (1,772 words) - 15:55, 7 June 2024
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has...
6 KB (848 words) - 20:31, 4 August 2024
Delannoy number Eulerian number Hypergeometric function List of factorial and binomial topics Macaulay representation of an integer Motzkin number Multiplicities...
61 KB (10,577 words) - 15:58, 14 August 2024