

A258478


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


2



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(ni*j, i1)*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



