19155

Appears in sequences

• Number of permutations of length n which avoid the patterns 1234, 3421, 4231.at n=11A116803
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (0, 1, -1), (1, 0, -1)}.at n=10A148562
• Number of ways to write n as an ordered sum of 10 nonzero triangular numbers.at n=26A340955
• Numbers that are the sum of six fourth powers in four or more ways.at n=37A345561
• Numbers that are the sum of six fourth powers in exactly four ways.at n=34A345816
• a(n) = coefficient of x^n in Sum_{n>=0} x^n/(1 - x*C(x)^n), where C(x) = 1/(1 - x*C(x)) is a g.f. of the Catalan numbers (A000108).at n=10A357220
• Numbers k such that the k-th run-length A110969(k) of the sequence of non-prime-powers (A024619) is different from all prior run-lengths.at n=46A373670
• a(n) = 13*n^2 + 10*n + 3.at n=38A387659