Search: id:A125809
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%I A125809
%S A125809 1,2,4,8,18,44,120,348,1064,3368,10952,36336,122570,419104,1449672,
%T A125809 5064240,17844558,63356072,226459120,814323856,2944055592,10695723368,
%U A125809 39029679176,142998497292,525862368660,1940381764088,7182278240848
%N A125809 Row sums of triangle A125806.
%C A125809 Triangle A125806 gives the sum of squared coefficients of q in the corresponding 
               q-binomial coefficients.
%o A125809 (PARI) {a(n)=sum(k=0,n,sum(i=0,(n-k)*k, polcoeff(if(n==0,1,prod(j=n-k+1,
               n,1-q^j)/prod(j=1,k,1-q^j)),i)^2))}
%Y A125809 Cf. A125806 (triangle); A063075, A125807, A125808.
%Y A125809 Sequence in context: A100132 A088457 A006786 this_sequence A000117 A006771 
               A113989
%Y A125809 Adjacent sequences: A125806 A125807 A125808 this_sequence A125810 A125811 
               A125812
%K A125809 nonn
%O A125809 0,2
%A A125809 Paul D. Hanna (pauldhanna(AT)juno.com), Dec 12 2006

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