A303354 - OEIS

%I #10 Apr 24 2018 02:17:45

%S 1,-1,-1,-2,4,-3,3,-6,75,-152,-4,-21,1136,-1118,-1348,-5846,20189,

%T -11851,17440,-49133,119449,-448210,72614,35800,6048178,-6376555,

%U -5239650,-25634644,52463464,-20483411,155646867,-229344925,664833536,-2469711562,819287282

%N Expansion of Product_{k>0} (1+k^2*x^k)^(-1/k).

%C This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = 1/n, g(n) = -n^2.

%p seq(coeff(series(mul((1+k^2*x^k)^(-1/k), k = 1..n), x, n+1), x, n), n = 0..40); # _Muniru A Asiru_, Apr 22 2018

%Y Cf. A151954, A303355.

%K sign

%O 0,4

%A _Seiichi Manyama_, Apr 22 2018