OFFSET
0,27
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
Michael Somos, A Remarkable eta-product Identity
FORMULA
G.f.: x^9 * Product_{k>0} (1 - x^(5 * k)) * (1 - x^(6 * k)) * (1 - x^(7 * k)) * (1 - x^(210 * k)).
MAPLE
seq(coeff(series(x^9*mul((1-x^(5*k))*(1-x^(6*k))*(1-x^(7*k))*(1-x^(210*k)), k=1..n), x, n+1), x, n), n=0..150); # Muniru A Asiru, Jul 29 2018
MATHEMATICA
eta[q_] := q^(1/24)*QPochhammer[q]; CoefficientList[Series[q^(-1/2)* eta[q^5]*eta[q^6]*eta[q^7]*eta[q^210], {q, 0, 50}], q] (* G. C. Greubel, Jul 28 2018 *)
PROG
(PARI) q='q+O('q^50); A=eta(q^5)*eta(q^6)*eta(q^7)*eta(q^210); concat(vector(9), Vec(A)) \\ G. C. Greubel, Jul 28 2018
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, May 03 2017
STATUS
approved