A263891 Number of permutations of [n] containing exactly seven occurrences of the consecutive pattern 132.

135135, 76769280, 10623587400, 869421477888, 53506915544340, 2760751748210688, 126815221020754440, 5382400437244477440, 216344464203055466790, 8377766827724961054720, 316434243063274830653400, 11764325342293663024742400, 433465553417224967969040900

Offset

15,1

Links

Alois P. Heinz, Table of n, a(n) for n = 15..100

Formula

a(n) = A197365(n,7).

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, 8)
    end:
a:= n-> coeff(b(n, 0$2), x, 7):
seq(a(n), n=15..35);

Crossrefs

Column k=7 of A197365.

Sequence in context: A104440 A290036 A289955 * A360662 A235209 A183734

Adjacent sequences: A263888 A263889 A263890 * A263892 A263893 A263894

Keyword

nonn

Author

Alois P. Heinz, Oct 28 2015

Status

approved