OFFSET
0,2
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, Comm. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
Expansion of sqrt(T8c - 4*q), where T8c = A112145, in powers of q.
EXAMPLE
T16f = 1/q - 2*q - 2*q^3 - 4*q^5 + 3*q^7 - 2*q^9 - 6*q^11 - 4*q^13 + ...
MATHEMATICA
eta[q_] := q^(1/24)*QPochhammer[q]; nmax = 100; A:= q^(1/2)*(eta[q]/ eta[q^2])^12; T4B := A + 64*q/A; T8c := Sqrt[(T4B /. {q -> q^4}) + O[q]^nmax]; a:= SeriesCoefficient[Sqrt[-4 *q + T8c + O[q]^nmax], {q, 0, n}]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 28 2018 *)
CROSSREFS
KEYWORD
sign
AUTHOR
Michael Somos, Aug 28 2005
STATUS
approved