A263893 Number of permutations of [n] containing exactly nine occurrences of the consecutive pattern 132.

34459425, 76077066240, 23268095463150, 3502499376844800, 362160710593122645, 29628651314310266880, 2068889029242559281900, 129136429755219072614400, 7428565762326237479436675, 402305799817247440225075200, 20831246409166627215418935750

Offset: 19

Author

Alois P. Heinz, Oct 28 2015

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 19..100

Crossrefs

Column k=9 of A197365.

Programs

Maple

b:= proc(u, o, t) option remember; series(`if`(u+o=0, 1,
      add(b(u-j, o+j-1, 0)*`if`(j<=t, x, 1), j=1..u)+
      add(b(u+j-1, o-j, j-1), j=1..o)), x, 10)
    end:
a:= n-> coeff(b(n, 0$2), x, 9):
seq(a(n), n=19..35);

Formula

a(n) = A197365(n,9).