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A133032
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a(n) = n raised to power p(n), where p(n) is the partition number of n.
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1
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0, 1, 4, 27, 1024, 78125, 362797056, 4747561509943, 73786976294838206464, 42391158275216203514294433201, 1000000000000000000000000000000000000000000
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OFFSET
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0,3
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..20
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FORMULA
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a(n) = n^A000041(n)
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EXAMPLE
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a(6)=362797056 because the partition number of 6 is 11 and 6^11=362797056.
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MAPLE
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with(combinat): seq(n^numbpart(n), n=0..11); - Emeric Deutsch, Nov 24 2007
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MATHEMATICA
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Table[n^(PartitionsP[n]), {n, 0, 20}] (* G. C. Greubel, Oct 02 2017 *)
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PROG
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(PARI) for(n=0, 20, print1(n^(numbpart(n)), ", ")) \\ G. C. Greubel, Oct 02 2017
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CROSSREFS
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Cf. A132641. Partition numbers: A000041.
Sequence in context: A197990 A068327 A066842 * A271385 A110763 A066352
Adjacent sequences: A133029 A133030 A133031 * A133033 A133034 A133035
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KEYWORD
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nonn
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AUTHOR
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Omar E. Pol, Oct 31 2007
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EXTENSIONS
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More terms from Emeric Deutsch, Nov 24 2007
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STATUS
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approved
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