id:A074066 - OEIS Search Results

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Zigzag modulo 3.

+0
5

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

	OFFSET	`1,2`
	COMMENT	`a(1)=1; for n>0: a(3n-1)=3n+1, a(3n)=3n, a(3n+1)=3n-1.` `a(a(n))=n (self-inverse permutation); for n>1: a(n) = n iff n == 0 modulo 3.` `Take natural numbers, exchange trisections starting with 2 and 4.`
	LINKS	`Eric Weisstein's World of Mathematics, Alternating Permutations` `Reinhard Zumkeller, Illustration for A074066-A074068` `Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`For n>1: a(n) = 3floor(n/3) + (n mod 3)^2 (-1)^(n mod 3); a(1)=1.`
	CROSSREFS	`Cf. A064429, A074067, A074068.` `Sequence in context: A071890 A021702 A010651 this_sequence A067016 A022295 A132668` `Adjacent sequences: A074063 A074064 A074065 this_sequence A074067 A074068 A074069`
	KEYWORD	`nonn,nice`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 17 2002`

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.

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