A327757 Expansion of Product_{k>=1} (1 - x^k)^(3/k), where (m/n) is the Kronecker symbol.

1, -1, 1, -1, 0, 1, -1, 2, -1, 0, 0, -2, 2, -2, 2, 0, -2, 3, -5, 4, -2, 0, 4, -6, 7, -6, 4, 1, -4, 8, -10, 8, -4, -2, 9, -13, 14, -12, 3, 4, -14, 20, -21, 17, -8, -6, 19, -28, 31, -23, 10, 10, -28, 41, -41, 32, -10, -16, 40, -58, 58, -44, 13, 24, -61, 81, -84, 59, -16, -37, 84

Offset

0,8

Links

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

Eric Weisstein's World of Mathematics, Kronecker Symbol

Prog

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

Crossrefs

Product_{k>=1} (1 - x^k)^(b/k): A092869 (b=2), A081362 (b=4), A007325 (b=5), A092876 (b=13).

Cf. A091338, A327758.

Sequence in context: A245842 A300574 A352194 * A373122 A373923 A191400

Adjacent sequences: A327754 A327755 A327756 * A327758 A327759 A327760

Keyword

sign,look

Author

Seiichi Manyama, Sep 24 2019

Status

approved