Expansion of 1 / (chi(-x) * chi(-x^3)) in powers of x where chi() is a Ramanujan theta function.
(history;
published version)
LINKS
Vaclav Kotesovec, <a href="/A328798/b328798.txt">Table of n, a(n) for n = 0..10000</a>
FORMULA
a(n) ~ exp(2*Pi*sqrt(n)/3) / (4*sqrt(3)*n^(3/4)). - Vaclav Kotesovec, Oct 31 2019
COMMENTS
f(-1 / (216 t)) = 1/2 g(t) where q = exp(2 pi Pi i t) and g() is g.f. for A112175.
COMMENTS
Convolution inverse is A112175. Convolution , 2nd power is A102315. Convolution , 3rd power is A229180. Convolution , 6th power is A123653.
Discussion
Mon Oct 28
18:33
Michael Somos: Light edit.
Discussion
Mon Oct 28
17:54
Michael Somos: Added more info. Fixed my typo.
COMMENTS
Convolution inverse is A112175. Convolution square 2nd power is A102315. Convolution 3rd is A229180.Convolution 6th power is A123653.