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A258476 Number of partitions of n into two sorts of parts having exactly 6 parts of the second sort.

%I A258476 #4 May 31 2015 10:39:35
%S A258476 1,8,37,129,376,966,2258,4901,10024,19509,36438,65653,114753,195144,
%T A258476 324164,526911,840581,1317461,2033445,3092660,4643571,6885877,
%U A258476 10099775,14655962,21067353,30002794,42376093,59364880,82558632,113985165,156352359,213082865
%N A258476 Number of partitions of n into two sorts of parts having exactly 6 parts of the second sort.
%H A258476 Alois P. Heinz, <a href="/A258476/b258476.txt">Table of n, a(n) for n = 6..1000</a>
%p A258476 b:= proc(n, i) option remember; series(`if`(n=0, 1,
%p A258476       `if`(i<1, 0, add(b(n-i*j, i-1)*add(x^t*
%p A258476        binomial(j, t), t=0..min(6, j)), j=0..n/i))), x, 7)
%p A258476     end:
%p A258476 a:= n-> coeff(b(n$2), x, 6):
%p A258476 seq(a(n), n=6..40);
%Y A258476 Column k=6 of A256193.
%K A258476 nonn
%O A258476 6,2
%A A258476 _Alois P. Heinz_, May 31 2015