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A125809

Row sums of triangle A125806.

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

0,2

COMMENTS

Triangle A125806 gives the sum of squared coefficients of q in the corresponding q-binomial coefficients.

LINKS

Table of n, a(n) for n=0..26.

PROG

(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))}

CROSSREFS

Cf. A125806 (triangle); A063075, A125807, A125808.

Sequence in context: A176720 A088457 A006786 * A245176 A000117 A386284

Adjacent sequences: A125806 A125807 A125808 * A125810 A125811 A125812

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 12 2006

STATUS

approved

URL: https://oeis.org/A125809

⇱ A125809 - OEIS