OFFSET
0,9
COMMENTS
Also McKay-Thompson series of class 88B for Monster. - Michel Marcus, Feb 19 2014
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
Expansion of q^(1/2)*((eta(q^2)*eta(q^22))^2/(eta(q)*eta(q^4)*eta(q^11)* eta(q^44))) in powers of q. - G. C. Greubel, Jul 02 2018
a(n) ~ exp(sqrt(2*n/11)*Pi) / (2^(5/4) * 11^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jul 02 2018
EXAMPLE
T88A = 1/q +q +q^5 +q^7 +q^9 +q^11 +q^13 +2*q^15 +2*q^17 +...
MATHEMATICA
eta[q_]:= q^(1/24)*QPochhammer[q]; A:= q^(1/2)*((eta[q^2]*eta[q^22])^2/ (eta[q]*eta[q^4]*eta[q^11]*eta[q^44])); a:= CoefficientList[Series[A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jul 02 2018 *)
PROG
(PARI) q='q+O('q^70); A = ((eta(q^2)*eta(q^22))^2/(eta(q)*eta(q^4) *eta(q^11)*eta(q^44))); Vec(A) \\ G. C. Greubel, Jul 02 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Michael Somos, Aug 28 2005
STATUS
approved