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A132641 Number of partitions of n, p(n), raised to power p(n). 1

%I #15 Nov 09 2014 07:21:13

%S 1,4,27,3125,823543,285311670611,437893890380859375,

%T 341427877364219557396646723584,

%U 205891132094649000000000000000000000000000000,150130937545296572356771972164254457814047970568738777235893533016064

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

%C a(n) is also the number of endofunctions on the partitions of n. - _Max Sills_, Feb 07 2012

%F a(n) = (p(n))^(p(n)).

%e a(5)=823543 because p(5)=7 and we can write 823543=7^7 or 823543=7*7*7*7*7*7*7.

%t Table[ PartitionsP@n ^ PartitionsP@n, {n, 10}] (* _Robert G. Wilson v_, Aug 28 2007 *)

%Y Cf. A000041, A008973, A008974, A051674.

%K nonn

%O 1,2

%A _Omar E. Pol_, Aug 24 2007

%E More terms from _Robert G. Wilson v_, Aug 28 2007

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)