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%I #5 Mar 06 2019 20:12:20
%S 1,1,2,2,4,6,9,12,22,32,45,70,98,153,231,318,452,685,933,1387,1988,
%T 2769,3850,5433,7622,10530,14896,20635,28123,38934,53067,72144,99509,
%U 133661,183794,249130,333956,448306,605165,807053,1078093,1444021,1913418,2556415,3406636
%N Expansion of Sum_{k>=0} x^k * Product_{j=1..k} (1 + j*x^j).
%t nmax = 44; CoefficientList[Series[Sum[x^k Product[(1 + j x^j), {j, 1, k}], {k, 0, nmax}], {x, 0, nmax}], x]
%Y Cf. A000009, A193196, A306702.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Mar 06 2019
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