OFFSET
0,2
FORMULA
Convolution inverse of A289300.
a(n) ~ (-1)^n * c * exp(Pi*sqrt(3)*n) / n^(3/8), where c = 0.730428963078390701326735403005831754545040392327211512089... = 2^(5/8) * exp(5 * Pi / (8 * sqrt(3))) * Pi^(5/2) / (3^(5/8) * Gamma(1/3)^(15/4) * Gamma(5/8)). - Vaclav Kotesovec, Feb 20 2018, updated Mar 06 2018
a(n) * A289300(n) ~ -5*sqrt(2 + sqrt(2)) * exp(2*sqrt(3)*Pi*n) / (16*Pi*n^2). - Vaclav Kotesovec, Feb 20 2018
MATHEMATICA
CoefficientList[Series[(2 * QPochhammer[-1, x])^5 / (65536 + x*QPochhammer[-1, x]^24)^(15/24), {x, 0, 20}], x] (* Vaclav Kotesovec, Feb 20 2018 *)
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Feb 20 2018
STATUS
approved