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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. 7
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 (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(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: A031110 A084491 A248298 * A084499 A070487 A167623

Adjacent sequences:  A084492 A084493 A084494 * A084496 A084497 A084498

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 02 2003

STATUS

approved

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Last modified January 15 20:47 EST 2019. Contains 319184 sequences. (Running on oeis4.)