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A258479 Number of partitions of n into two sorts of parts having exactly 9 parts of the second sort.

%I A258479 #4 May 31 2015 11:50:29
%S A258479 1,11,67,298,1080,3379,9453,24204,57658,129335,275693,562454,1104484,
%T A258479 2097247,3865383,6937016,12154390,20838939,35029203,57829458,93897437,
%U A258479 150150058,236723504,368350864,566187387,860416074,1293614426,1925547270,2839214222,4149449828
%N A258479 Number of partitions of n into two sorts of parts having exactly 9 parts of the second sort.
%H A258479 Alois P. Heinz, <a href="/A258479/b258479.txt">Table of n, a(n) for n = 9..1000</a>
%p A258479 b:= proc(n, i) option remember; series(`if`(n=0, 1,
%p A258479       `if`(i<1, 0, add(b(n-i*j, i-1)*add(x^t*
%p A258479        binomial(j, t), t=0..min(9, j)), j=0..n/i))), x, 10)
%p A258479     end:
%p A258479 a:= n-> coeff(b(n$2), x, 9):
%p A258479 seq(a(n), n=9..40);
%Y A258479 Column k=9 of A256193.
%K A258479 nonn
%O A258479 9,2
%A A258479 _Alois P. Heinz_, May 31 2015