id:A069584 - OEIS Search Results

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a(n) = n - largest perfect power <= n.

+0
3

0, 1, 2, 0, 1, 2, 3, 0, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 0, 1, 2, 3, 4, 0, 1, 2, 3, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`a(n) = 0 if n = m^p that is if n is a full power (square, cube etc).` `As Catalan's conjecture is now proved, n=8=2^3, n+1=9=3^2 is the only solution for a(n+1) = a(n) = 0.`
	LINKS	`Eric Weisstein's World of Mathematics, Catalan's conjecture`
	CROSSREFS	`Cf. A001597, a(n)=n-A081676(n).` `Sequence in context: A128584 A080099 A127711 this_sequence A014587 A025658 A025673` `Adjacent sequences: A069581 A069582 A069583 this_sequence A069585 A069586 A069587`
	KEYWORD	`easy,nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 24 2002`
	EXTENSIONS	`Edited by Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 26 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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