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A128602 Row sums of triangle A128567. 3
1, 3, 12, 60, 315, 1869, 11472, 74797, 502908, 3505031, 24973089, 182208083, 1352620790, 10207771213, 78082422354, 604699597868, 4733082767467, 37406134058641, 298165102770381, 2395219866441531, 19376637845028027 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

A128567 is the matrix square of Parker's partition triangle (A047812).

PROG

(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])}

CROSSREFS

Cf. A128567, A128568 (column 1), A128569 (column 2).

Sequence in context: A069944 A073996 A003483 * A092803 A181282 A020052

Adjacent sequences:  A128599 A128600 A128601 * A128603 A128604 A128605

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Mar 12 2007

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.