A263892 Number of permutations of [n] containing exactly eight occurrences of the consecutive pattern 132.

2027025, 2266145280, 467264653965, 52135907088384, 4183054629844995, 273302114875729920, 15559739185621805235, 804731991294567628800, 38866311953961514404975, 1787021214083758837555200, 79318135487882387789779275, 3434027248121360673543782400

Offset: 17

Author

Alois P. Heinz, Oct 28 2015

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 17..100

Crossrefs

Column k=8 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, 9)
    end:
a:= n-> coeff(b(n, 0$2), x, 8):
seq(a(n), n=17..35);

Formula

a(n) = A197365(n,8).