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A065260 A057115 conjugated with A059893, inverse of A065259. 5
2, 4, 1, 8, 6, 12, 3, 16, 10, 20, 5, 24, 14, 28, 7, 32, 18, 36, 9, 40, 22, 44, 11, 48, 26, 52, 13, 56, 30, 60, 15, 64, 34, 68, 17, 72, 38, 76, 19, 80, 42, 84, 21, 88, 46, 92, 23, 96, 50, 100, 25, 104, 54, 108, 27, 112, 58, 116, 29, 120, 62, 124, 31, 128, 66, 132, 33, 136, 70 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This permutation of N induces also such permutation of Z, that p(i)-i >= 0 for all i.

LINKS

Table of n, a(n) for n=1..69.

Index entries for sequences that are permutations of the natural numbers

Joe Buhler and Ron Graham, Juggling Drops and Descents, Amer. Math. Monthly, 101, (no. 6) 1994, 507 - 519.

FORMULA

a(n) = A059893(A057115(A059893(n)))

a(2n+2) = 4n+4, a(4n+1) = 4n+2, a(4n+3) = 2n+1. - Ralf Stephan, Jun 10 2005

Empirical g.f.: x*(x^6+4*x^5+2*x^4+8*x^3+x^2+4*x+2) / ((x-1)^2*(x+1)^2*(x^2+1)^2). - Colin Barker, Feb 18 2013

CROSSREFS

Cf. also A065171. The siteswap sequence (deltas) is A065261.

Sequence in context: A121466 A065290 A065266 * A091894 A127151 A193034

Adjacent sequences:  A065257 A065258 A065259 * A065261 A065262 A065263

KEYWORD

nonn

AUTHOR

Antti Karttunen Oct 28 2001

STATUS

approved

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Last modified May 25 10:17 EDT 2013. Contains 225647 sequences.