%I #20 Mar 20 2023 08:51:11
%S 1,1,2,11,1575,1844349560,153758476658245881594406593,
%T 347537071782505941949439171855284853031279455482877609142244398412144336038
%N Number of partitions of n!.
%C The next term is too large to include. - _Robert G. Wilson v_, Dec 22 2004
%F a(n) = A000041(A000142(n)). - _Michel Marcus_, Mar 25 2015
%e P(3!) = 11; P(4!) = 1575.
%t Table[ PartitionsP[n!], {n, 8}] (* _Robert G. Wilson v_, Dec 23 2004 *)
%o (MuPAD) combinat::partitions::count(i!) $i=0..8 // _Zerinvary Lajos_, Apr 16 2007
%o (PARI) a(n) = numbpart(n!); \\ _Michel Marcus_, Mar 25 2015
%o (Magma) a:= func<n | NumberOfPartitions(Factorial(n))>; [a(n): n in [0..8]]; // _Vincenzo Librandi_, Apr 06 2015
%Y Cf. A000041, A000142, A153256.
%K nonn
%O 0,3
%A _Parthasarathy Nambi_, Dec 21 2004
%E More terms from _Robert G. Wilson v_, Dec 22 2004