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Search: id:A128569
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A128569 Column 2 of triangle A128567. +0
4
1, 14, 117, 813, 4871, 27743, 151208, 804065, 4185683, 21472005, 108766010, 545507633, 2712801330, 13394412999, 65722444172, 320721839860, 1557502222385, 7530671086667, 36267851679585, 174038009185816 (list; graph; listen)
OFFSET

0,2

COMMENT

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

PROGRAM

(PARI) {a(n)=local(M); M=matrix(n+3, n+3, 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)))); (M^2)[n+3, 3]}

CROSSREFS

Cf. A128567, A128568 (column 1), A128602 (row sums).

Sequence in context: A026989 A121783 A155647 this_sequence A138431 A006223 A091303

Adjacent sequences: A128566 A128567 A128568 this_sequence A128570 A128571 A128572

KEYWORD

nonn

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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