A101295 Number of partitions of n!.

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

Offset

0,3

Comments

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

Links

Table of n, a(n) for n=0..7.

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

Cf. A000041, A000142, A153256.

Sequence in context: A343929 A051254 A095820 * A131306 A145797 A284739

Adjacent sequences: A101292 A101293 A101294 * A101296 A101297 A101298

Keyword

nonn

Author

Parthasarathy Nambi, Dec 21 2004

Extensions

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

Status

approved