A084495 Permutation of Z, obtained by reflecting the juggling sequence A084511 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, 40, 31, 44, 39, 50, 35, 54, 41, 52, 37, 48, 49, 60, 43, 56, 47, 62, 45, 58, 53, 68, 57, 66, 51, 70, 55, 64, 65, 76, 61, 78, 59, 72, 63, 74

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(A084495_Z2Z(N2Z(n))), n=1..45)];
N2Z := n -> ((-1)^n)*floor(n/2);
Z2N := z -> 2*abs(z)+`if`((z < 1), 1, 0);
A084495_Z2Z := z -> z+`if`((z > 0), A084511(z), `if`((z >= -3), 2*(-z), A084511(A084494((-z)-3))));

Crossrefs

Inverse: A084496. Cf. also A084494, A084455, A084461, A084491, A084499, A065166.

Sequence in context: A084491 A248298 A353572 * A084499 A070487 A167623

Adjacent sequences: A084492 A084493 A084494 * A084496 A084497 A084498

Keyword

nonn

Author

Antti Karttunen, Jun 02 2003

Status

approved