id:A065170 - OEIS Search Results

Search: id:A065170

Displaying 1-1 of 1 results found.

page 1

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

+0
2

7, 5, 9, 3, 11, 1, 13, 2, 15, 4, 17, 6, 19, 8, 21, 10, 23, 12, 25, 14, 27, 16, 29, 18, 31, 20, 33, 22, 35, 24, 37, 26, 39, 28, 41, 30, 43, 32, 45, 34, 47, 36, 49, 38, 51, 40, 53, 42, 55, 44, 57, 46, 59, 48, 61, 50, 63, 52, 65, 54, 67, 56, 69, 58, 71, 60, 73, 62, 75, 64, 77, 66 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`This permutation consists of just three cycles, which are infinite.`
	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	`Inverse permutation to A065166.` `Sequence in context: A111513 A081815 A115372 this_sequence A113816 A073823 A141391` `Adjacent sequences: A065167 A065168 A065169 this_sequence A065171 A065172 A065173`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Oct 19 2001`

page 1

Search completed in 0.002 seconds

Last modified December 3 16:57 EST 2008. Contains 151279 sequences.

AT&T Labs Research