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A122267 Expansion of f(-q)^2*R(q) in powers of q. 0
1, -506, -15625, -89206, -271151, -420838, -638066, 0, 56446, 2172742, 1771561, 5443200, 0, 7082714, -4570773, -98282, -13055614, 0, -29937600, 4072822, -26439842, 0, 0, 26266966, -24137569, 70761600, 38871506, 7906250, 52240606, 56926298, -29158919 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

f(-q) (g.f. A010815) and R(q) (g.f. A013973) are Ramanujan q-series.

LINKS

S. R. Finch, Powers of Euler's q-Series, (arXiv:math.NT/0701251).

PROG

(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x+A)^2*sum(k=1, n, -504*sigma(k, 5)*x^k, 1+A), n))}

CROSSREFS

Sequence in context: A158633 A204954 A204947 * A204946 A023913 A035848

Adjacent sequences:  A122264 A122265 A122266 * A122268 A122269 A122270

KEYWORD

sign

AUTHOR

Michael Somos, Aug 28 2006

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Last modified February 14 06:20 EST 2012. Contains 205570 sequences.