id:A068327 - OEIS Search Results

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Arithmetic derivative of n^n.

+0
5

0, 4, 27, 1024, 3125, 233280, 823543, 201326592, 2324522934, 70000000000, 285311670611, 142657607172096, 302875106592253, 100008061430022144, 3503151123046875000, 590295810358705651712 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`p prime: a(p) = A003415(p^p)) = p^p,` `A003415(A051674(n))=A051674(n).`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..100`
	FORMULA	`a(n) = A003415(A000312(n)).`
	EXAMPLE	`a(10) = A003415(10^10) = A003415(2^10 * 5^10) = 10^10 * (10/2 + 10/5) = 10^10 * (5 + 2) = 70000000000 by formula in A003415.`
	CROSSREFS	`Sequence in context: A120093 A133018 A104168 this_sequence A066842 A133032 A110763` `Adjacent sequences: A068324 A068325 A068326 this_sequence A068328 A068329 A068330`
	KEYWORD	`nonn,nice`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 27 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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