A316150 Inverse Weigh transform of n^2.

1, 4, 5, 5, -6, -12, -4, 34, 56, 1, -158, -267, 56, 874, 1234, -691, -4966, -5796, 6132, 28411, 26932, -46687, -162814, -117746, 332350, 929348, 454328, -2278344, -5259270, -1250947, 15199212, 29375294, -1279006, -99217863, -161079712, 60427836, 635914664

Offset

1,2

Links

Table of n, a(n) for n=1..37.

N. J. A. Sloane, Transforms

Formula

Product_{k>=1} (1+x^k)^a(k) = 1 + Sum_{k>=1} A000290(k)*x^k.

Example

(1+x)*(1+x^2)^4*(1+x^3)^5*(1+x^4)^5*(1+x^5)^(-6)* ... = 1 + x + 4*x^2 + 9*x^3 + 16*x^4 + 25*x^5 + ... .

Crossrefs

Cf. A000290, A253909, A306152, A316152.

Sequence in context: A157727 A374830 A028276 * A110883 A178131 A071570

Adjacent sequences: A316147 A316148 A316149 * A316151 A316152 A316153

Keyword

sign

Author

Seiichi Manyama, Jun 25 2018

Status

approved