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
Seiichi Manyama, Table of n, a(n) for n = 0..1000
FORMULA
a(n) ~ -c * 3^(2*n-1) / (Gamma(2/3) * n^(4/3)), where c = QPochhammer[1/9]^(1/3) = 0.95703379660353017269195329... - Vaclav Kotesovec, Apr 25 2018
MAPLE
seq(coeff(series(mul((1-9*x^k)^(1/3), k=1..n), x, n+1), x, n), n=0..25); # Muniru A Asiru, Apr 22 2018
PROG
(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-9*x^k)^(1/3)))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 22 2018
STATUS
approved