OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..5000 (terms 0..999 from G. A. Edgar)
D. Alexander, C. Cummins, J. McKay and C. Simons, Completely Replicable Functions, LMS Lecture Notes, 165, ed. Liebeck and Saxl (1992), 87-98, annotated and scanned copy.
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)^4*eta(q^4)^4 / (eta(q)^4*eta(q^8)^4) + 4*eta(q)^4*eta(q^8)^4 / (eta(q^2)^4*eta(q^4)^4)) in powers of q. - G. A. Edgar, Mar 23 2017
EXAMPLE
T8b = 1/q + 8*q - 6*q^3 + 48*q^5 + 15*q^7 + 168*q^9 - 26*q^11 + 496*q^13 + ...
MATHEMATICA
eta[q_]:= q^(1/24)*QPochhammer[q]; F:= (eta[q^2]*eta[q^4]/(eta[q] *eta[q^8]))^4; a:= CoefficientList[Series[q^(1/2)*(F + 4/F), {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 03 2018 *)
PROG
(PARI) q='q+O('q^30); F= (eta(q^2)*eta(q^4)/(eta(q)*eta(q^8)))^4; Vec(F + 4*q/F) \\ G. C. Greubel, Jun 03 2018
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
More terms from G. A. Edgar, Mar 23 2017
STATUS
approved