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

%I A258478 #4 May 31 2015 11:30:57
%S A258478 1,10,56,231,782,2299,6074,14751,33454,71676,146357,286749,542017,
%T A258478 992683,1768044,3071242,5216904,8682987,14188324,22794857,36061113,
%U A258478 56235914,86551836,131580012,197774522,294103819,433033550,631622692,913255789,1309504156,1863113073
%N A258478 Number of partitions of n into two sorts of parts having exactly 8 parts of the second sort.
%H A258478 Alois P. Heinz, <a href="/A258478/b258478.txt">Table of n, a(n) for n = 8..1000</a>
%p A258478 b:= proc(n, i) option remember; series(`if`(n=0, 1,
%p A258478       `if`(i<1, 0, add(b(n-i*j, i-1)*add(x^t*
%p A258478        binomial(j, t), t=0..min(8, j)), j=0..n/i))), x, 9)
%p A258478     end:
%p A258478 a:= n-> coeff(b(n$2), x, 8):
%p A258478 seq(a(n), n=8..40);
%Y A258478 Column k=8 of A256193.
%K A258478 nonn
%O A258478 8,2
%A A258478 _Alois P. Heinz_, May 31 2015