A065166 - OEIS

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A065166

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

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; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`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: A171784 A200133 A021150 * A006255 A110760 A050710` `Adjacent sequences: A065163 A065164 A065165 * A065167 A065168 A065169`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Oct 19 2001`

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.