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Expansion of e.g.f. Product_{k>=2} 1 / (1 - x^k/k!).
1

%I #5 Mar 26 2024 11:14:33

%S 1,0,1,1,7,11,126,267,3655,11503,169258,654413,11623910,52505961,

%T 1066163983,5721040860,128827399823,783999460951,19881737827434,

%U 134931439956945,3784646604928402,28564669112399283,875600527787948801,7239530824941958612,242133074649322025674

%N Expansion of e.g.f. Product_{k>=2} 1 / (1 - x^k/k!).

%t nmax = 24; CoefficientList[Series[Product[1/(1 - x^k/k!), {k, 2, nmax}], {x, 0, nmax}], x] Range[0, nmax]!

%Y Cf. A005651, A032311.

%K nonn

%O 0,5

%A _Ilya Gutkovskiy_, Mar 25 2024