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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. 7
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 (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(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 * A326107 A005483 A228276

Adjacent sequences:  A084458 A084459 A084460 * A084462 A084463 A084464

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 02 2003

STATUS

approved

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Last modified October 18 15:21 EDT 2019. Contains 328162 sequences. (Running on oeis4.)