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%I #4 May 27 2018 19:46:55
%S 1,1,2,9,36,190,1070,6797,46942,350901,2806187,23894662,215598410,
%T 2053090936,20557071012,215697357449,2364810631734,27023086395647,
%U 321160376470277,3962047673946906,50648323260067319,669819485900273336,9150740338219903590,128965789655207156299
%N a(n) = [x^n] exp(Sum_{k>=1} (-1)^(k+1)*x^k/(k*(1 - x^k)^n)).
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F a(n) = [x^n] Product_{k>=1} (1 + x^k)^binomial(n+k-2,n-1).
%t Table[SeriesCoefficient[Exp[Sum[(-1)^(k + 1) x^k/(k (1 - x^k)^n), {k, 1, n}]], {x, 0, n}], {n, 0, 23}]
%t Table[SeriesCoefficient[Product[(1 + x^k)^Binomial[n + k - 2, n - 1], {k, 1, n}], {x, 0, n}], {n, 0, 23}]
%Y Cf. A026007, A028377, A258343, A293554, A305205.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, May 27 2018