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Expansion of e.g.f. Product_{k>=1} (1 - x^k/k!)^3.
1

%I #5 Mar 30 2024 02:33:44

%S 1,-3,3,18,-57,-138,246,4281,13383,-156906,-450822,-957729,23375886,

%T 289894875,-179027895,-3403581357,-174968380137,-419588974650,

%U 4439383168602,50400469832883,1027067921064738,428364930324489,-18456487538087145,-1019962180000311267

%N Expansion of e.g.f. Product_{k>=1} (1 - x^k/k!)^3.

%t nmax = 23; CoefficientList[Series[Product[(1 - x^k/k!)^3, {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!

%Y Cf. A010816, A032314, A185895, A371551.

%K sign

%O 0,2

%A _Ilya Gutkovskiy_, Mar 27 2024