id:A065166 - OEIS Search Results

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Permutation t->t+3 of Z, folded to N.

+0
8

6, 8, 4, 10, 2, 12, 1, 14, 3, 16, 5, 18, 7, 20, 9, 22, 11, 24, 13, 26, 15, 28, 17, 30, 19, 32, 21, 34, 23, 36, 25, 38, 27, 40, 29, 42, 31, 44, 33, 46, 35, 48, 37, 50, 39, 52, 41, 54, 43, 56, 45, 58, 47, 60, 49, 62, 51, 64, 53, 66, 55, 68, 57, 70, 59, 72, 61, 74, 63, 76, 65, 78 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Corresponds to simple periodic asynchronic site swap pattern ...333333... (performing a three-ball cascade forever).` `This permutation consists of just three infinite cycles.`
	LINKS	`Joe Buhler and Ron Graham, Juggling Drops and Descents, Amer. Math. Monthly, 101, (no. 6) 1994, 507 - 519.` `Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`Let f: Z -> N be given by f(z) = 2z if z>0 else 2\|z\|+1, with inverse g(z) = z/2 if z even else (1-z)/2. Then a(n) = f(g(n)+3).`
	CROSSREFS	`Row 3 of A065167. Inverse permutation: A065170.` `Sequence in context: A054042 A100608 A021150 this_sequence A006255 A110760 A050710` `Adjacent sequences: A065163 A065164 A065165 this_sequence A065167 A065168 A065169`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Oct 19 2001`

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

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