OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..2500
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
Expansion of A + 3*q/A, where A = q^(1/2)*eta(q^2)*eta(q^4)/(eta(q^6) * eta(q^12)), in powers of q. - G. C. Greubel, Jun 25 2018
EXAMPLE
T24g = 1/q + 3*q - q^3 + 3*q^5 - 2*q^7 + 9*q^9 + 2*q^11 + 9*q^13 + ...
MATHEMATICA
eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^2]*eta[q^4]/( eta[q^6]*eta[q^12])); a:= CoefficientList[Series[A + 3*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 25 2018 *)
PROG
(PARI) q='q+O('q^60); A = eta(q^2)*eta(q^4)/(eta(q^6)*eta(q^12)); Vec(A + 3*q/A) \\ G. C. Greubel, Jun 25 2018
CROSSREFS
KEYWORD
sign
AUTHOR
Michael Somos, Aug 28 2005
STATUS
approved