A263889 Number of permutations of [n] containing exactly five occurrences of the consecutive pattern 132.

945, 140160, 8451954, 354288384, 12220104063, 375886190592, 10790720535960, 297346489233408, 8010916259737230, 213667262746914816, 5691371451612082740, 152338392950319636480, 4115775817227930936570, 112602904310385883054080, 3126998971137511212293880

Offset

11,1

Links

Alois P. Heinz, Table of n, a(n) for n = 11..100

Formula

a(n) = A197365(n,5).

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, 6)
    end:
a:= n-> coeff(b(n, 0$2), x, 5):
seq(a(n), n=11..35);

Crossrefs

Column k=5 of A197365.

Sequence in context: A334975 A289953 A112491 * A133353 A322252 A351806

Adjacent sequences: A263886 A263887 A263888 * A263890 A263891 A263892

Keyword

nonn

Author

Alois P. Heinz, Oct 28 2015

Status

approved