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Search: id:A125809
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| 1, 2, 4, 8, 18, 44, 120, 348, 1064, 3368, 10952, 36336, 122570, 419104, 1449672, 5064240, 17844558, 63356072, 226459120, 814323856, 2944055592, 10695723368, 39029679176, 142998497292, 525862368660, 1940381764088, 7182278240848
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OFFSET
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0,2
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COMMENT
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Triangle A125806 gives the sum of squared coefficients of q in the corresponding q-binomial coefficients.
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PROGRAM
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(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))}
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CROSSREFS
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Cf. A125806 (triangle); A063075, A125807, A125808.
Sequence in context: A100132 A088457 A006786 this_sequence A000117 A006771 A113989
Adjacent sequences: A125806 A125807 A125808 this_sequence A125810 A125811 A125812
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 12 2006
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