A258478 Number of partitions of n into two sorts of parts having exactly 8 parts of the second sort.

1, 10, 56, 231, 782, 2299, 6074, 14751, 33454, 71676, 146357, 286749, 542017, 992683, 1768044, 3071242, 5216904, 8682987, 14188324, 22794857, 36061113, 56235914, 86551836, 131580012, 197774522, 294103819, 433033550, 631622692, 913255789, 1309504156, 1863113073

Offset

8,2

Links

Alois P. Heinz, Table of n, a(n) for n = 8..1000

Maple

b:= proc(n, i) option remember; series(`if`(n=0, 1,
      `if`(i<1, 0, add(b(n-i*j, i-1)*add(x^t*
       binomial(j, t), t=0..min(8, j)), j=0..n/i))), x, 9)
    end:
a:= n-> coeff(b(n$2), x, 8):
seq(a(n), n=8..40);

Crossrefs

Column k=8 of A256193.

Sequence in context: A268462 A296918 A001786 * A320756 A053309 A035040

Adjacent sequences: A258475 A258476 A258477 * A258479 A258480 A258481

Keyword

nonn

Author

Alois P. Heinz, May 31 2015

Status

approved