A132641 Number of partitions of n, p(n), raised to power p(n).

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

Links

Table of n, a(n) for n=1..10.

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

Cf. A000041, A008973, A008974, A051674.

Sequence in context: A249110 A348329 A051674 * A008973 A132646 A254866

Adjacent sequences: A132638 A132639 A132640 * A132642 A132643 A132644

Keyword

nonn

Author

Omar E. Pol, Aug 24 2007

Extensions

More terms from Robert G. Wilson v, Aug 28 2007

Status

approved