A084491 Permutation of Z, obtained by reflecting the juggling sequence A084501 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.

1, 8, 2, 10, 4, 12, 6, 16, 3, 14, 5, 18, 7, 20, 11, 22, 9, 24, 13, 28, 15, 26, 17, 32, 19, 30, 23, 34, 21, 38, 27, 40, 25, 36, 29, 46, 35, 42, 31, 44, 33, 52, 39, 50, 41, 48, 37, 54, 47, 56, 45, 58, 43, 60, 49, 62, 51, 64, 53, 68, 55, 66, 57, 70, 59, 74, 63, 72, 61, 76, 65, 78

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(A084491_Z2Z(N2Z(n))), n=1..45)];
N2Z := n -> ((-1)^n)*floor(n/2);
Z2N := z -> 2*abs(z)+`if`((z < 1), 1, 0);
A084491_Z2Z := z -> z+`if`((z > 0), A084501(z), `if`((z >= -3), 2*(-z), A084501(A084490((-z)-3))));

Crossrefs

Inverse: A084492. Cf. also A084490, A084455, A084461, A084495, A084499, A065166.

Sequence in context: A154459 A258164 A031110 * A248298 A353572 A084495

Adjacent sequences: A084488 A084489 A084490 * A084492 A084493 A084494

Keyword

nonn

Author

Antti Karttunen, Jun 02 2003

Status

approved