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%I #15 Dec 15 2017 17:35:41
%S 1,1,1,4,122,2194432,1860799032530519872,
%T 26520691877985842130274557505490676978655683245437940
%N a(n) = number of partitions of n! into distinct parts.
%F a(n) = A000009(A000142(n)). - _Michel Marcus_, Jan 11 2015
%t a[n_]:=PartitionsQ[n! ];lst={};Do[AppendTo[lst,a[n]],{n,0,8}];lst (* _Vladimir Joseph Stephan Orlovsky_, Dec 22 2008 *)
%o (PARI) a(n) = polcoeff(prod(k=1,n,1+x^k,1+x*O(x^n)), n) for(n=0,23,print(a(n!)))
%Y Cf. A000009.
%K nonn
%O 0,4
%A _Jason Earls_, Oct 10 2001
%E One more term from _Vladeta Jovovic_, Oct 13 2001
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