OFFSET
0,5
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 - q/A, where A = q^(1/2)*(eta(q^6)*eta(q^8))/(eta(q^2)* eta(q^24)), in powers of q. - G. C. Greubel, Jun 19 2018
EXAMPLE
T48b = 1/q - q + q^3 + q^5 + 2*q^7 + q^9 + 2*q^11 - q^13 + 3*q^15 + ...
MATHEMATICA
eta[q_]:= q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^6]*eta[q^8])/( eta[q^2]*eta[q^24]); a:= CoefficientList[Series[A - q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 80}] (* G. C. Greubel, Jun 19 2018 *)
PROG
(PARI) q='q+O('q^80); A = (eta(q^6)*eta(q^8))/(eta(q^2)*eta(q^24)); Vec(A - q/A) \\ G. C. Greubel, Jun 19 2018
CROSSREFS
KEYWORD
sign
AUTHOR
Michael Somos, Aug 28 2005
STATUS
approved