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A133032 a(n) = n raised to power p(n), where p(n) is the partition number of n. +0
1
0, 1, 4, 27, 1024, 78125, 362797056, 4747561509943, 73786976294838206464, 42391158275216203514294433201, 1000000000000000000000000000000000000000000 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = n^A000041(n)

EXAMPLE

a(6)=362797056 because the partition number of 6 is 11 and 6^11=362797056.

MAPLE

with(combinat): seq(n^numbpart(n), n=0..11); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 24 2007

CROSSREFS

Cf. A132641. Partition numbers: A000041.

Sequence in context: A104168 A068327 A066842 this_sequence A110763 A066352 A051674

Adjacent sequences: A133029 A133030 A133031 this_sequence A133033 A133034 A133035

KEYWORD

nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Oct 31 2007

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 24 2007

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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