id:A065165 - OEIS Search Results

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

+0
3

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; listen)

	OFFSET	`1,1`
	COMMENT	`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 this_sequence A088516 A114538 A026239` `Adjacent sequences: A065162 A065163 A065164 this_sequence A065166 A065167 A065168`
	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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