A303152 Expansion of Product_{n>=1} (1 - (9*x)^n)^(1/3).

1, -3, -36, -207, -2214, -2754, -138591, 547722, -3730293, 30138075, 133709535, 7735237479, -35284817430, 702841889322, 3056530613769, 9493893988155, 112554319443867, 3822223052352735, -3940051663965051, 250298859930263181, -551418001934739786, 1061747224529191191

Offset: 0

Author

Seiichi Manyama, Apr 19 2018

Keywords

• sign

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1/3, g(n) = 9^n.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..1000

Crossrefs

Expansion of Product_{n>=1} (1 - ((b^2)*x)^n)^(1/b): A010815 (b=1), A298411 (b=2), this sequence (b=3), A303153 (b=4), A303154 (b=5).

Cf. A271236, A303074.

Programs

PARI

N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-(9*x)^k)^(1/3)))