A319244 Expansion of Product_{k>0} (1 - x^(k^3))/(1 + x^(k^3)).

1, -2, 2, -2, 2, -2, 2, -2, 0, 2, -2, 2, -2, 2, -2, 2, 0, -2, 2, -2, 2, -2, 2, -2, 0, 2, -2, 0, 2, -2, 2, -2, 4, -6, 6, -2, -2, 2, -2, 2, -4, 6, -6, 2, 2, -2, 2, -2, 4, -6, 6, -2, -2, 2, 0, -2, 0, 2, -2, -2, 6, -6, 2, 2, -2, 2, -2, 6, -10, 10, -6, 2, 0, -2, 2, -6, 10

Offset

0,2

Links

Table of n, a(n) for n=0..76.

Formula

Convolution inverse of A280263.

Mathematica

CoefficientList[Series[Product[(1-x^(k^3))/(1+x^(k^3)), {k, 10}], {x, 0, 80}], x] (* Harvey P. Dale, Nov 10 2024 *)

Crossrefs

Product_{k>0} (1 - x^(k^m))/(1 + x^(k^m)): A002448 (m=1), A319243 (m=2), this sequence (m=3).

Cf. A280263.

Sequence in context: A044925 A376680 A323356 * A309286 A102671 A292519

Adjacent sequences: A319241 A319242 A319243 * A319245 A319246 A319247

Keyword

sign

Author

Seiichi Manyama, Sep 15 2018

Status

approved