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, Comm. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
Expansion of A - 4*q/A, where A = q^(1/2)*(eta(q)*eta(q^3)/(eta(q^4)* eta(q^12))), in powers of q. - G. C. Greubel, Jun 21 2018
a(n) ~ -exp(sqrt(2*n/3)*Pi) / (2^(5/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 29 2018
EXAMPLE
T24a = 1/q - 5*q - 5*q^3 - 9*q^5 - 14*q^7 - 19*q^9 - 34*q^11 - 55*q^13 - ...
MATHEMATICA
eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q]*eta[q^3]/( eta[q^4]*eta[q^12])); a:= CoefficientList[Series[A - 4*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 21 2018 *)
PROG
(PARI) q='q+O('q^50); A = (eta(q)*eta(q^3)/(eta(q^4)* eta(q^12))); Vec(A - 4*q/A) \\ G. C. Greubel, Jun 21 2018
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
Terms a(12) onward added by G. C. Greubel, Jun 21 2018
STATUS
approved