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A132641
Number of partitions of n, p(n), raised to power p(n).
1
1, 4, 27, 3125, 823543, 285311670611, 437893890380859375, 341427877364219557396646723584, 205891132094649000000000000000000000000000000, 150130937545296572356771972164254457814047970568738777235893533016064
OFFSET
1,2
COMMENTS
a(n) is also the number of endofunctions on the partitions of n. - Max Sills, Feb 07 2012
FORMULA
a(n) = (p(n))^(p(n)).
EXAMPLE
a(5)=823543 because p(5)=7 and we can write 823543=7^7 or 823543=7*7*7*7*7*7*7.
MATHEMATICA
Table[ PartitionsP@n ^ PartitionsP@n, {n, 10}] (* Robert G. Wilson v, Aug 28 2007 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Aug 24 2007
EXTENSIONS
More terms from Robert G. Wilson v, Aug 28 2007
STATUS
approved