OFFSET
0,9
COMMENTS
Convolution inverse of the 3rd order mock theta function rho(q) (A053255).
LINKS
Eric Weisstein's World of Mathematics, Mock Theta Function
FORMULA
G.f.: 1/(Sum_{i>=0} q^(2*i*(i+1))/Product_{j=0..i} (1 + q^(2*j+1) + q^(4*j+2))).
MATHEMATICA
nmax = 60; CoefficientList[Series[1/Sum[q^(2 i (i + 1))/Product[1 + q^(2 j + 1) + q^(4 j + 2), {j, 0, i}], {i, 0, nmax}], {q, 0, nmax}], q]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Nov 03 2017
STATUS
approved