%I #4 Apr 03 2018 15:12:10
%S 1,4,14,46,136,382,1022,2626,6530,15784,37218,85842,194146,431358,
%T 943038,2031454,4316884,9058662,18787730,38542526,78264298,157403290,
%U 313712482,619919350,1215125262,2363570168,4563951858,8751621598,16670498062,31553539214,59361428202
%N Expansion of Product_{k>=1} ((1 + x^k)/(1 - x^k))^prime(k).
%C Convolution of the sequences A030009 and A061152.
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F G.f.: Product_{k>=1} ((1 + x^k)/(1 - x^k))^A000040(k).
%t nmax = 30; CoefficientList[Series[Product[((1 + x^k)/(1 - x^k))^Prime[k], {k, 1, nmax}], {x, 0, nmax}], x]
%Y Cf. A000040, A015128, A030009, A061152, A156616, A206622, A206623, A206624, A260916, A261386, A261452, A261519, A261520, A301554, A301555.
%K nonn
%O 0,2
%A _Ilya Gutkovskiy_, Apr 03 2018