A084454 -id:A084454 - cp's OEIS frontend

A084455 Permutation of Z, obtained by reflecting the juggling sequence A084452 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.

1, 10, 2, 12, 4, 14, 6, 8, 9, 20, 3, 22, 5, 24, 7, 16, 17, 18, 19, 32, 11, 28, 13, 34, 15, 26, 27, 38, 23, 30, 31, 44, 21, 46, 25, 36, 37, 50, 29, 40, 41, 42, 43, 58, 33, 52, 35, 48, 49, 62, 39, 64, 47, 54, 55, 56, 57, 72, 45, 60, 61, 74, 51, 76, 53, 66, 67, 68, 69, 70, 71, 86

Offset: 1

Antti Karttunen, Jun 02 2003

nonn

This permutation consists of three infinite cycles + infinite number of fixed points.

Inverse: A084466. Cf. also A084454, A084461, A084491, A084495, A084499, A065166.

[seq(Z2N(A084455_Z2Z(N2Z(n))),n=1..45)];
N2Z := n -> ((-1)^n)*floor(n/2);
Z2N := z -> 2*abs(z)+`if`((z < 1),1,0);
A084455_Z2Z := z -> z+`if`((z > 0), A084452(z),`if`((z >= -3),2*(-z), A084452(A084454((-z)-3))));

A084453 a(n) = n + A084452(n) - 3.

Original entry on oeis.org

2, 3, 4, 1, 7, 8, 9, 5, 6, 13, 11, 14, 10, 16, 12, 19, 20, 15, 22, 17, 18, 26, 23, 21, 28, 29, 24, 25, 33, 27, 34, 35, 30, 31, 32, 40, 41, 42, 36, 37, 38, 39, 48, 45, 49, 43, 44, 52, 46, 47, 56, 54, 50, 51, 59, 53, 61, 55, 64, 57, 58, 67, 60, 69, 62, 63, 73, 65, 66, 74, 68, 76

Offset: 1

Antti Karttunen, Jun 02 2003

nonn

Inverse: A084454.

Cf. A084455, A084459, A084489, A084493, A084497.

cp's OEIS Frontend

A084455 Permutation of Z, obtained by reflecting the juggling sequence A084452 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs