A084499 Permutation of Z, obtained by reflecting the juggling sequence A084521 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.

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

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(A084499_Z2Z(N2Z(n))), n=1..45)];
N2Z := n -> ((-1)^n)*floor(n/2);
Z2N := z -> 2*abs(z)+`if`((z < 1), 1, 0);
A084499_Z2Z := z -> z+`if`((z > 0), A084511(z), `if`((z >= -3), 2*(-z), A084521(A084498((-z)-3))));

Crossrefs

Inverse: A084530. Cf. also A084498, A084455, A084461, A084491, A084495, A065166.

Sequence in context: A248298 A353572 A084495 * A070487 A167623 A040063

Adjacent sequences: A084496 A084497 A084498 * A084500 A084501 A084502

Keyword

nonn

Author

Antti Karttunen, Jun 02 2003

Status

approved