A264497 Number of permutations of [n] with exactly ten (possibly overlapping) occurrences of the generalized pattern 13-2.

74, 5343, 166144, 3342042, 51052432, 643569953, 7034981562, 68865924682, 617271459112, 5148104341380, 40431758240544, 301784671671496, 2156289904582398, 14834095711273034, 98718321568669660, 637965526671540768, 4016617646502383422, 24704067590177063445

Offset: 8

Author

Alois P. Heinz, Nov 14 2015

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 8..500

Crossrefs

Column k=10 of A263776.

Programs

Maple

b:= proc(u, o) option remember; `if`(u+o=0, 1, add(
       b(u-j, o+j-1), j=1..u) +add(convert(series(
       b(u+j-1, o-j)*x^(j-1), x, 11),polynom), j=1..o))
    end:
a:= n-> coeff(b(n, 0), x, 10):
seq(a(n), n=8..25);