id:A064429 - OEIS Search Results

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a(n) = floor(n / 3) * 3 + signum(n mod 3) * (3 - n mod 3).

+0
8

0, 2, 1, 3, 5, 4, 6, 8, 7, 9, 11, 10, 12, 14, 13, 15, 17, 16, 18, 20, 19, 21, 23, 22, 24, 26, 25, 27, 29, 28, 30, 32, 31, 33, 35, 34, 36, 38, 37, 39, 41, 40, 42, 44, 43, 45, 47, 46, 48, 50, 49, 51, 53, 52, 54, 56, 55, 57, 59, 58, 60, 62, 61, 63, 65, 64, 66, 68, 67, 69, 71, 70 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`a(a(n)) = n (a self-inverse permutation).` `Take natural numbers, exchange trisections starting with 1 and 2.` `Lodumo_3 of A080425 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 26 2009]`
	LINKS	`Eric Weisstein's World of Mathematics, Alternating Permutations` `Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`a(n) = n - 2sin(4pi*n/3)/sqrt(3) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Dec 05 2008]` `a(n)=lod_3(A080425(n)). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 26 2009]`
	CROSSREFS	`Cf. A004442.` `Cf. A004442, A074066.` `Equals A080782(n+1) - 1.` `Equals A001477+A102283 [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Dec 05 2008]` `Sequence in context: A060083 A069931 A056943 this_sequence A113790 A063705 A137655` `Adjacent sequences: A064426 A064427 A064428 this_sequence A064430 A064431 A064432`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 15 2001`

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Last modified March 15 12:29 EDT 2010. Contains 173428 sequences.

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