A101295 - OEIS

A101295

Number of partitions of n!.

1, 1, 2, 11, 1575, 1844349560, 153758476658245881594406593, 347537071782505941949439171855284853031279455482877609142244398412144336038

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OFFSET

0,3

COMMENTS

The next term is too large to include. - Robert G. Wilson v, Dec 22 2004

LINKS

FORMULA

a(n) = A000041(A000142(n)). - Michel Marcus, Mar 25 2015

EXAMPLE

P(3!) = 11; P(4!) = 1575.

MATHEMATICA

Table[ PartitionsP[n!], {n, 8}] (* Robert G. Wilson v, Dec 23 2004 *)

PROG

(MuPAD) combinat::partitions::count(i!) $i=0..8 // Zerinvary Lajos, Apr 16 2007

(PARI) a(n) = numbpart(n!); \\ Michel Marcus, Mar 25 2015

(Magma) a:= func<n | NumberOfPartitions(Factorial(n))>; [a(n): n in [0..8]]; // Vincenzo Librandi, Apr 06 2015

CROSSREFS

KEYWORD

nonn

AUTHOR

EXTENSIONS

More terms from Robert G. Wilson v, Dec 22 2004

STATUS

approved