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A132641
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Number of partitions of n, p(n), raised to power p(n).
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1
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1, 4, 27, 3125, 823543, 285311670611, 437893890380859375, 341427877364219557396646723584, 205891132094649000000000000000000000000000000, 150130937545296572356771972164254457814047970568738777235893533016064
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OFFSET
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1,2
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COMMENTS
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a(n) is also the number of endofunctions on the partitions of n. - Max Sills, Feb 07 2012
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LINKS
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Table of n, a(n) for n=1..10.
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FORMULA
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a(n) = (p(n))^(p(n)).
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EXAMPLE
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a(5)=823543 because p(5)=7 and we can write 823543=7^7 or 823543=7*7*7*7*7*7*7.
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MATHEMATICA
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Table[ PartitionsP@n ^ PartitionsP@n, {n, 10}] (* Robert G. Wilson v, Aug 28 2007 *)
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CROSSREFS
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Cf. A000041, A008973, A008974, A051674.
Sequence in context: A249105 A249110 A051674 * A008973 A132646 A254866
Adjacent sequences: A132638 A132639 A132640 * A132642 A132643 A132644
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KEYWORD
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nonn
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AUTHOR
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Omar E. Pol, Aug 24 2007
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EXTENSIONS
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More terms from Robert G. Wilson v, Aug 28 2007
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STATUS
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approved
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