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Search: id:A128602
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| 1, 3, 12, 60, 315, 1869, 11472, 74797, 502908, 3505031, 24973089, 182208083, 1352620790, 10207771213, 78082422354, 604699597868, 4733082767467, 37406134058641, 298165102770381, 2395219866441531, 19376637845028027
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OFFSET
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0,2
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COMMENT
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A128567 is the matrix square of Parker's partition triangle (A047812).
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PROGRAM
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(PARI) {a(n)=local(M); M=matrix(n+1, n+1, r, c, if(r<c, 0, if(r==0, 1, polcoeff(prod(j=r+1, 2*r, 1-q^j)/prod(j=1, r, 1-q^j), (r+1)*(c-1), q)))); sum(k=0, n, (M^2)[n+1, k+1])}
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CROSSREFS
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Cf. A128567, A128568 (column 1), A128569 (column 2).
Sequence in context: A069944 A073996 A003483 this_sequence A092803 A020052 A096471
Adjacent sequences: A128599 A128600 A128601 this_sequence A128603 A128604 A128605
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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), Mar 12 2007
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