cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-7 of 7 results.

A084462 Inverse permutation to A084461.

Original entry on oeis.org

1, 3, 11, 5, 13, 7, 19, 8, 9, 2, 21, 4, 29, 14, 15, 16, 17, 6, 25, 10, 35, 22, 23, 18, 39, 26, 27, 12, 47, 30, 31, 32, 33, 20, 49, 36, 37, 24, 59, 40, 41, 42, 43, 44, 45, 28, 61, 34, 73, 50, 51, 52, 53, 54, 55, 56, 57, 38, 67, 46, 81, 62, 63, 64, 65, 58, 85, 68, 69, 70, 71, 48
Offset: 1

Views

Author

Antti Karttunen, Jun 02 2003

Keywords

Links

Crossrefs

Cf. A084461.

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.

Original entry on oeis.org

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

Views

Author

Antti Karttunen, Jun 02 2003

Keywords

Comments

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

Links

Crossrefs

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

Programs

  • Maple
    [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))));

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.

Original entry on oeis.org

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
Offset: 1

Views

Author

Antti Karttunen, Jun 02 2003

Keywords

Comments

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

Links

Crossrefs

Inverse: A084492. Cf. also A084490, A084455, A084461, A084495, A084499, A065166.

Programs

  • Maple
    [seq(Z2N(A084491_Z2Z(N2Z(n))),n=1..45)];
N2Z := n -> ((-1)^n)*floor(n/2);
Z2N := z -> 2*abs(z)+`if`((z < 1),1,0);
A084491_Z2Z := z -> z+`if`((z > 0), A084501(z),`if`((z >= -3),2*(-z), A084501(A084490((-z)-3))));

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.

Original entry on oeis.org

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
Offset: 1

Views

Author

Antti Karttunen, Jun 02 2003

Keywords

Comments

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

Links

Crossrefs

Inverse: A084496. Cf. also A084494, A084455, A084461, A084491, A084499, A065166.

Programs

  • 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))));

A084499 Permutation of Z, obtained by reflecting the juggling sequence A084521 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.

Original entry on oeis.org

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, 44, 31, 40, 41, 52, 35, 48, 39, 54, 37, 50, 45, 60, 49, 58, 43, 62, 47, 56, 57, 68, 53, 70, 51, 64, 55, 66, 63, 76, 65, 78, 59, 74, 61, 72
Offset: 1

Views

Author

Antti Karttunen, Jun 02 2003

Keywords

Comments

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

Links

Crossrefs

Inverse: A084530. Cf. also A084498, A084455, A084461, A084491, A084495, A065166.

Programs

  • Maple
    [seq(Z2N(A084499_Z2Z(N2Z(n))),n=1..45)];
N2Z := n -> ((-1)^n)*floor(n/2);
Z2N := z -> 2*abs(z)+`if`((z < 1),1,0);
A084499_Z2Z := z -> z+`if`((z > 0), A084511(z),`if`((z >= -3),2*(-z), A084521(A084498((-z)-3))));

A084459 a(n) = n + A084458(n) - 3.

Original entry on oeis.org

2, 3, 6, 1, 7, 11, 4, 5, 9, 14, 8, 16, 10, 20, 12, 13, 21, 15, 26, 17, 18, 19, 27, 33, 22, 23, 24, 25, 30, 37, 28, 29, 39, 31, 32, 44, 34, 35, 36, 46, 38, 52, 40, 41, 42, 43, 53, 45, 60, 47, 48, 49, 50, 51, 57, 65, 54, 55, 56, 68, 58, 59, 74, 61, 62, 63, 64, 76, 66, 67, 83, 69
Offset: 1

Views

Author

Antti Karttunen, Jun 02 2003

Keywords

Links

Crossrefs

Inverse: A084460.
Cf. A084461, A084453, A084489, A084493, A084497.

A084460 Inverse permutation to A084459.

Original entry on oeis.org

4, 1, 2, 7, 8, 3, 5, 11, 9, 13, 6, 15, 16, 10, 18, 12, 20, 21, 22, 14, 17, 25, 26, 27, 28, 19, 23, 31, 32, 29, 34, 35, 24, 37, 38, 39, 30, 41, 33, 43, 44, 45, 46, 36, 48, 40, 50, 51, 52, 53, 54, 42, 47, 57, 58, 59, 55, 61, 62, 49, 64, 65, 66, 67, 56, 69, 70, 60, 72, 73, 74, 75
Offset: 1

Views

Author

Antti Karttunen, Jun 02 2003

Keywords

Links

Crossrefs

Used to compute A084461.
Showing 1-7 of 7 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.