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Search: id:A125808
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| 1, 4, 29, 256, 2592, 28160, 322873, 3850352, 47369432, 597565304, 7695966346, 100852014156, 1341310032320, 18067954497864, 246098396499471, 3384883529933828, 46960152641672616, 656538880287562528
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OFFSET
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0,2
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COMMENT
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Central terms of even-indexed rows of triangle A125806 equal A063075 (number of partitions of 2n^2 whose Ferrers-plot fits within a 2n X 2n box and cover an n X n box).
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PROGRAM
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(PARI) {a(n)=local(C_q=if(n==0, 1, prod(j=n+3, 2*n+2, 1-q^j)/prod(j=1, n, 1-q^j))); sum(i=0, (n+2)*n, polcoeff(C_q, i)^2)}
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CROSSREFS
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Cf. A125806 (triangle); A063075; A125807, A125809 (row sums).
Sequence in context: A087809 A140526 A151343 this_sequence A083072 A127770 A121630
Adjacent sequences: A125805 A125806 A125807 this_sequence A125809 A125810 A125811
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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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