OFFSET
0,4
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
Andrew Sills, Towards an Automation of the Circle Method, Gems in Experimental Mathematics in Contemporary Mathematics, 2010, formula S110.
FORMULA
a(n) ~ 2*Pi * BesselI(1, sqrt(8*n+3)*Pi/(3*sqrt(2))) / (3*sqrt(24*n+9)).
a(n) ~ exp(2*Pi*sqrt(n)/3) / (3*2^(3/2)*n^(3/4)) * (1 + (Pi/8 - 9/(16*Pi))/sqrt(n) + (Pi^2/128 - 135/(512*Pi^2) - 45/128)/n).
MATHEMATICA
nmax=50; CoefficientList[Series[Product[(1-x^(12*k))*(1-x^(4*k-2))/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 11 2017
STATUS
approved