A327758 Expansion of Product_{k>=1} 1/(1 - x^k)^(3/k), where (m/n) is the Kronecker symbol.

1, 1, 0, 0, 1, 0, -1, -1, -1, -1, 0, 1, 1, 2, 3, 2, 1, 0, -2, -4, -4, -4, -3, 0, 3, 5, 6, 7, 4, 0, -4, -8, -12, -11, -6, -2, 4, 12, 17, 16, 12, 4, -8, -17, -22, -24, -20, -6, 11, 24, 34, 36, 29, 12, -10, -33, -47, -50, -40, -18, 13, 44, 66, 72, 59, 27, -16, -58, -89, -100, -84, -41

Offset: 0

Author

Seiichi Manyama, Sep 24 2019

Keywords

• sign
• look

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..1000
• Eric Weisstein's World of Mathematics, Kronecker Symbol

Crossrefs

Convolution inverse of A327757.

Product_{k>=1} 1/(1 - x^k)^(b/k): A111374 (b=2), A000009 (b=4), A003823 (b=5), A214157 (b=13).

Cf. A091338,

Programs

PARI

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