A230236 Number of permutations of [n] in which the longest increasing run has length 10.

1, 20, 349, 5954, 103194, 1845480, 34288800, 663848640, 13406178240, 282398538240, 6201593613645, 141859542537845, 3376683552323421, 83546513273754977, 2146303277645066980, 57187254952684274700, 1578640101972070456800, 45101111852055549981600

Offset: 10

Author

Alois P. Heinz, Oct 12 2013

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 10..200

Crossrefs

Column k=10 of A008304.

Programs

Maple

b:= proc(u, o, t, k) option remember; `if`(u+o=0, 1,
      `if`(t b(n, 0, 0, 10)-b(n, 0, 0, 9):
seq(a(n), n=10..30);

Formula

E.g.f.: 1/Sum_{n>=0} (11*n+1-x)*x^(11*n)/(11*n+1)! - 1/Sum_{n>=0} (10*n+1-x)*x^(10*n)/(10*n+1)!.

a(n) = A230233(n) - A230232(n).