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A065170 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

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


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