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

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Last modified January 20 23:20 EST 2019. Contains 319343 sequences. (Running on oeis4.)