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%I A299167 #4 Feb 04 2018 12:38:21
%S A299167 1,1,2,5,14,36,94,243,628,1619,4178,10776,27793,71682,184879,476832,
%T A299167 1229830,3171942,8180989,21100215,54421187,140361900,362018270,
%U A299167 933709453,2408202606,6211182512,16019743522,41317765457,106565859669,274852289679,708892898170,1828360759013,4715667307920
%N A299167 Expansion of 1/(1 - x*Product_{k>=1} (1 + x^k)^k).
%H A299167 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A299167 G.f.: 1/(1 - x*Product_{k>=1} (1 + x^k)^k).
%F A299167 a(0) = 1; a(n) = Sum_{k=1..n} A026007(k-1)*a(n-k).
%t A299167 nmax = 32; CoefficientList[Series[1/(1 - x Product[(1 + x^k)^k, {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A299167 Antidiagonal sums of A277938.
%Y A299167 Cf. A026007, A067687, A299105, A299106, A299108, A299162, A299164, A299166.
%K A299167 nonn
%O A299167 0,3
%A A299167 _Ilya Gutkovskiy_, Feb 04 2018

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