A263894 Number of permutations of [n] containing exactly ten occurrences of the consecutive pattern 132.

654729075, 2862426470400, 1296211708989225, 261264015391703040, 34500885158438507610, 3502077835791610920960, 297315399971212318577070, 22214713615158982916505600, 1510589164324758020706100635, 95690236900543163501872250880, 5743287914726512704740717709585

Offset

21,1

Links

Alois P. Heinz, Table of n, a(n) for n = 21..100

Formula

a(n) = A197365(n,10).

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, 11)
    end:
a:= n-> coeff(b(n, 0$2), x, 10):
seq(a(n), n=21..35);

Crossrefs

Column k=10 of A197365.

Sequence in context: A271770 A290039 A289958 * A291550 A234071 A234795

Adjacent sequences: A263891 A263892 A263893 * A263895 A263896 A263897

Keyword

nonn

Author

Alois P. Heinz, Oct 28 2015

Status

approved