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A064681 a(n) = number of partitions of n! into distinct parts. 1
1, 1, 1, 4, 122, 2194432, 1860799032530519872, 26520691877985842130274557505490676978655683245437940 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
a(n) = A000009(A000142(n)). - Michel Marcus, Jan 11 2015
MATHEMATICA
a[n_]:=PartitionsQ[n! ]; lst={}; Do[AppendTo[lst, a[n]], {n, 0, 8}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 22 2008 *)
PROG
(PARI) a(n) = polcoeff(prod(k=1, n, 1+x^k, 1+x*O(x^n)), n) for(n=0, 23, print(a(n!)))
CROSSREFS
Cf. A000009.
Sequence in context: A268050 A268006 A144993 * A219871 A263550 A232592
KEYWORD
nonn
AUTHOR
Jason Earls, Oct 10 2001
EXTENSIONS
One more term from Vladeta Jovovic, Oct 13 2001
STATUS
approved

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)