A084455 Permutation of Z, obtained by reflecting the juggling sequence A084452 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.

1, 10, 2, 12, 4, 14, 6, 8, 9, 20, 3, 22, 5, 24, 7, 16, 17, 18, 19, 32, 11, 28, 13, 34, 15, 26, 27, 38, 23, 30, 31, 44, 21, 46, 25, 36, 37, 50, 29, 40, 41, 42, 43, 58, 33, 52, 35, 48, 49, 62, 39, 64, 47, 54, 55, 56, 57, 72, 45, 60, 61, 74, 51, 76, 53, 66, 67, 68, 69, 70, 71, 86

Offset

1,2

Comments

This permutation consists of three infinite cycles + infinite number of fixed points.

Links

Table of n, a(n) for n=1..72.

A. Karttunen, Scheme-program for computing this sequence

Index entries for sequences that are permutations of the natural numbers

Maple

[seq(Z2N(A084455_Z2Z(N2Z(n))), n=1..45)];
N2Z := n -> ((-1)^n)*floor(n/2);
Z2N := z -> 2*abs(z)+`if`((z < 1), 1, 0);
A084455_Z2Z := z -> z+`if`((z > 0), A084452(z), `if`((z >= -3), 2*(-z), A084452(A084454((-z)-3))));

Crossrefs

Inverse: A084466. Cf. also A084454, A084461, A084491, A084495, A084499, A065166.

Sequence in context: A317387 A303784 A278649 * A069532 A084461 A367811

Adjacent sequences: A084452 A084453 A084454 * A084456 A084457 A084458

Keyword

nonn

Author

Antti Karttunen, Jun 02 2003

Status

approved