A258478 - OEIS

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

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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);