A065165 - OEIS

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A065165

Permutation t->t+2 of Z, folded to N.

4, 6, 2, 8, 1, 10, 3, 12, 5, 14, 7, 16, 9, 18, 11, 20, 13, 22, 15, 24, 17, 26, 19, 28, 21, 30, 23, 32, 25, 34, 27, 36, 29, 38, 31, 40, 33, 42, 35, 44, 37, 46, 39, 48, 41, 50, 43, 52, 45, 54, 47, 56, 49, 58, 51, 60, 53, 62, 55, 64, 57, 66, 59, 68, 61, 70, 63, 72, 65, 74, 67, 76 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Corresponds to simple periodic asynchronic site swap pattern ...222222... (holding a ball in each hand forever).` `This permutation consists of just two 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)+2).`
	CROSSREFS	`Row 2 of A065167. Inverse permutation: A065169.` `Sequence in context: A137662 A153124 A066252 * A088516 A114538 A181096` `Adjacent sequences: A065162 A065163 A065164 * A065166 A065167 A065168`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Oct 19 2001`

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Last modified February 14 00:47 EST 2012. Contains 205567 sequences.