%I
%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
