OFFSET
0,2
COMMENTS
This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = 1/3, g(n) = -9.
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..1000
FORMULA
a(n) ~ c * (-9)^n / n^(2/3), where c = 1 / (Gamma(1/3) * QPochhammer[-1/9]^(1/3)) = 0.361746646328749408912877789757526727... - Vaclav Kotesovec, Apr 25 2018
MAPLE
seq(coeff(series(mul(1/(1+9*x^k)^(1/3), k = 1..n), x, n+1), x, n), n = 0..25); # Muniru A Asiru, Apr 22 2018
MATHEMATICA
nmax = 20; CoefficientList[Series[Product[1/(1 + 9*x^k)^(1/3), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Apr 25 2018 *)
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 22 2018
STATUS
approved