OFFSET
-1,7
REFERENCES
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
LINKS
FORMULA
Expansion of eta(q^9)*eta(q^15) / (eta(q^3)*eta(q^45)) - eta(q^3)*eta(q^45) / (eta(q^9)*eta(q^15)) in powers of q. - G. A. Edgar, Mar 20 2017
EXAMPLE
T45a = 1/q - q + q^2 + q^4 + 2*q^5 + q^7 + 2*q^8 - q^10 + 4*q^11 + q^13 + ...
MATHEMATICA
eta[q_]:= q^(1/24)*QPochhammer[q]; A:= q*eta[q^9]*eta[q^15]/(eta[q^3] *eta[q^45]); a := CoefficientList[Series[A - q^2/A , {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 14 2018 *)
PROG
(PARI) q='q+O('q^99); Vec(eta(q^9)*eta(q^15) / (eta(q^3)*eta(q^45)) - q^2 * eta(q^3)*eta(q^45) / (eta(q^9)*eta(q^15))) \\ Joerg Arndt, Mar 20 2017
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
More terms from G. A. Edgar, Mar 20 2017
STATUS
approved