A084491 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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);