A084461 Permutation of Z, obtained by reflecting the juggling sequence A084458 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.

1, 10, 2, 12, 4, 18, 6, 8, 9, 20, 3, 28, 5, 14, 15, 16, 17, 24, 7, 34, 11, 22, 23, 38, 19, 26, 27, 46, 13, 30, 31, 32, 33, 48, 21, 36, 37, 58, 25, 40, 41, 42, 43, 44, 45, 60, 29, 72, 35, 50, 51, 52, 53, 54, 55, 56, 57, 66, 39, 80, 47, 62, 63, 64, 65, 84, 59, 68, 69, 70, 71, 94

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(A084461_Z2Z(N2Z(n))), n=1..45)];
N2Z := n -> ((-1)^n)*floor(n/2);
Z2N := z -> 2*abs(z)+`if`((z < 1), 1, 0);
A084461_Z2Z := z -> z+`if`((z > 0), A084458(z), `if`((z >= -3), 2*(-z), A084458(A084460((-z)-3))));

Crossrefs

Inverse: A084462. Cf. also A084460, A084455, A084491, A084495, A084499, A065166.

Sequence in context: A278649 A084455 A069532 * A367811 A364188 A326107

Adjacent sequences: A084458 A084459 A084460 * A084462 A084463 A084464

Keyword

nonn

Author

Antti Karttunen, Jun 02 2003

Status

approved