OFFSET
0,2
COMMENTS
The convolution square of this sequence is A007253 except for the constant term: T10c(q)^2 + 4 = T5a(q^2). - G. A. Edgar, Apr 03 2017
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000 (terms 0..499 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, Vol. 22, No. 13 (1994), 5175-5193.
EXAMPLE
T10c = 1/q - 2*q - 5*q^3 - 5*q^7 + 8*q^9 - 9*q^11 - 20*q^13 - 10*q^17 + ...
MATHEMATICA
eta[q_]:= q^(1/24)*QPochhammer[q]; nmax = 110; e25a:= eta[q]/eta[q^25];
e5B := (eta[q]/eta[q^5])^6; T5a := (1 + 5/e25a)*(1 + e5B) + 5*(e25a - 5/e25a)*(e5B/(e25a)^3); a:= CoefficientList[Series[((q (T5a - 4) + O[q]^nmax // Normal /. {q -> q^2}) + O[q]^nmax)^(1/2) // Normal, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 18 2018 *)
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 27 2000
STATUS
approved