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A258480 Number of partitions of n into two sorts of parts having exactly 10 parts of the second sort.

%I A258480 #4 May 31 2015 12:44:50
%S A258480 1,12,79,377,1457,4836,14289,38493,96151,225486,501180,1063635,
%T A258480 2168132,4265393,8130869,15067991,27222865,48062380,83093629,
%U A258480 140925603,234830485,384989926,621737584,990119455,1556378360,2416887471,3710698393,5636503638,8476224739
%N A258480 Number of partitions of n into two sorts of parts having exactly 10 parts of the second sort.
%H A258480 Alois P. Heinz, <a href="/A258480/b258480.txt">Table of n, a(n) for n = 10..1000</a>
%p A258480 b:= proc(n, i) option remember; series(`if`(n=0, 1,
%p A258480       `if`(i<1, 0, add(b(n-i*j, i-1)*add(x^t*
%p A258480        binomial(j, t), t=0..min(10, j)), j=0..n/i))), x, 11)
%p A258480     end:
%p A258480 a:= n-> coeff(b(n$2), x, 10):
%p A258480 seq(a(n), n=10..40);
%Y A258480 Column k=10 of A256193.
%K A258480 nonn
%O A258480 10,2
%A A258480 _Alois P. Heinz_, May 31 2015