OFFSET
-1,3
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, Commun. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
a(n) ~ exp(4*Pi*sqrt(n/29)) / (sqrt(2)*29^(1/4)*n^(3/4)). - Vaclav Kotesovec, Sep 07 2017
G.f.: - 2 + x^(-1) * ( G(x) * G(x^29) + x^6 * H(x) * H(x^29) )^2 where G() is g.f. of A003114 and H() is g.f. of A003106. - G. C. Greubel, Jun 18 2018
EXAMPLE
T29A = 1/q + 3*q + 4*q^2 + 7*q^3 + 10*q^4 + 17*q^5 + 22*q^6 + 32*q^7 + ...
MATHEMATICA
eta[q_]:= q^(1/24)*QPochhammer[q]; e26B := ((eta[q^2]*eta[q^13])/(eta[q] *eta[q^26]))^2; G[q_] := QPochhammer[q^2, q^5]*QPochhammer[q^3, q^5]* QPochhammer[q^5]/QPochhammer[q]; H[q_] := QPochhammer[q, q^5]* QPochhammer[q^4, q^5]*QPochhammer[q^5]/QPochhammer[q]; a:= CoefficientList[Series[q*(-2 + (1/q)*(G[q]*G[q^29] + q^6*H[q]*H[q^29])^2 ), {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 18 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
More terms from Michel Marcus, Feb 18 2014
STATUS
approved