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

19,1

Links

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

Formula

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

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);

Crossrefs

Column k=9 of A197365.

Sequence in context: A271769 A290038 A289957 * A250573 A210154 A216399

Adjacent sequences: A263890 A263891 A263892 * A263894 A263895 A263896

Keyword

nonn

Author

Alois P. Heinz, Oct 28 2015

Status

approved