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Numerators of expansion of eta(5t)^2*eta(10t)^(13/5)*eta(20t)^(-9/5)*eta(40t)^(6/5).
1

%I #6 Jun 10 2018 08:00:37

%S 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,

%T 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,

%U 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

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

%H T. Ishikawa, <a href="http://projecteuclid.org/euclid.hmj/1206128505">Congruences between binomial coefficients binom(2f,f) and Fourier coefficients of certain eta-products</a>, Hiroshima Math. J. 22 (1992), no. 3, 583-590.

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

%Y Cf. A135469 (denominators).

%K sign,frac

%O 2,8

%A _N. J. A. Sloane_, Feb 07 2008