OFFSET
-1,2
LINKS
G. C. Greubel, Table of n, a(n) for n = -1..1000
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. 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 18 2018
EXAMPLE
T24f = 1/q - 3*q - q^3 - 3*q^5 - 2*q^7 - 9*q^9 + 2*q^11 - 9*q^13 - q^15 - ...
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, 0, 50}] (* G. C. Greubel, Jun 18 2018 *)
PROG
(PARI) q='q+O('q^50); A = (eta(q^2)*eta(q^4))/(eta(q^6) *eta(q^12)); Vec(A - 3*q/A) \\ G. C. Greubel, Jun 18 2018
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
Terms a(12) onward added by G. C. Greubel, Jun 18 2018
STATUS
approved