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%I #5 Mar 26 2024 11:14:38
%S 1,0,1,2,6,44,210,1644,11088,119664,1034640,12372480,139629600,
%T 1877722560,25389131040,395162832960,6041860070400,105872058754560,
%U 1864694944465920,35822359116149760,705399920144640000,15048474234019430400,324762706938629836800,7566557300438795366400
%N Expansion of e.g.f. Product_{k>=2} (1 + x^k/k).
%t nmax = 23; CoefficientList[Series[Product[(1 + x^k/k), {k, 2, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
%Y Cf. A007838, A032311, A371487.
%K nonn
%O 0,4
%A _Ilya Gutkovskiy_, Mar 25 2024