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Inverse Weigh transform of n^2.
1

%I #16 Jun 25 2018 12:47:13

%S 1,4,5,5,-6,-12,-4,34,56,1,-158,-267,56,874,1234,-691,-4966,-5796,

%T 6132,28411,26932,-46687,-162814,-117746,332350,929348,454328,

%U -2278344,-5259270,-1250947,15199212,29375294,-1279006,-99217863,-161079712,60427836,635914664

%N Inverse Weigh transform of n^2.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

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

%e (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 + ... .

%Y Cf. A000290, A253909, A306152, A316152.

%K sign

%O 1,2

%A _Seiichi Manyama_, Jun 25 2018