A135468 Numerators of expansion of eta(5t)^2*eta(10t)^(13/5)*eta(20t)^(-9/5)*eta(40t)^(6/5).

0, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, -18, 0, 0, 0, 0, 36, 0, 0, 0, 0, 122, 0, 0, 0, 0, -144, 0, 0, 0, 0, -852, 0, 0, 0, 0, -96, 0, 0, 0, 0, 5244, 0, 0, 0, 0, -4538, 0, 0, 0, 0, -7332, 0, 0, 0, 0, 151164, 0, 0, 0, 0, 67896, 0, 0, 0, 0, 236208, 0, 0, 0, 0, -1405224, 0, 0, 0, 0, 577248, 0, 0, 0, 0, -20031881

Offset

2,8

Links

Table of n, a(n) for n=2..84.

T. Ishikawa, Congruences between binomial coefficients binom(2f,f) and Fourier coefficients of certain eta-products, Hiroshima Math. J. 22 (1992), no. 3, 583-590.

Example

q^2-2*q^7-18/5*q^12+36/5*q^17+122/25*q^22-144/25*q^27-...

Crossrefs

Cf. A135469 (denominators).

Sequence in context: A230730 A299905 A225783 * A003196 A319581 A331302

Adjacent sequences: A135465 A135466 A135467 * A135469 A135470 A135471

Keyword

sign,frac

Author

N. J. A. Sloane, Feb 07 2008

Status

approved