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

17,1

Links

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

Formula

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

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);

Crossrefs

Column k=8 of A197365.

Sequence in context: A346515 A290037 A289956 * A163682 A045871 A272598

Adjacent sequences: A263889 A263890 A263891 * A263893 A263894 A263895

Keyword

nonn

Author

Alois P. Heinz, Oct 28 2015

Status

approved