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 1-4 of 4 results.

A072089 Permutation of natural numbers induced by the automorphism gt-df->bf (switch from the Depth First to the Breadth First coding for the general trees/parenthesizations) acting on the parenthesizations encoded by A014486.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 16, 17, 18, 15, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 30, 31, 32, 29, 34, 35, 36, 37, 39, 51, 56, 52, 42, 53, 44, 45, 46, 43, 48, 49, 50, 38, 60, 47, 54, 61, 40, 57, 58, 59, 41, 55, 62, 63, 64, 65, 66, 67, 68, 69, 70, 75
Offset: 0

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Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

When restricted to the subset of plane binary trees, produces the automorphism A057118 and being "self-embeddable", this allows us also to construct the permutation A072620 (A072622). [See comment at A072088.]

Links

Crossrefs

Inverse permutation: A072088. Cf. also A014486, A057118, A072620.

A070041 Permutation of natural numbers induced by the automorphism df->bf (from the depth-first to breadth-first encoding) acting on the rooted planar binary trees encoded by A014486. (with one-based indexing).

Original entry on oeis.org

1, 2, 5, 3, 4, 11, 12, 13, 6, 7, 14, 10, 8, 9, 29, 30, 33, 31, 32, 36, 37, 34, 15, 16, 35, 19, 17, 18, 40, 41, 42, 25, 26, 38, 27, 20, 21, 39, 28, 24, 22, 23, 85, 86, 89, 87, 88, 95, 96, 97, 90, 91, 98, 94, 92, 93, 104, 105, 112, 108, 109, 106, 110, 99, 43, 44, 100, 47, 45
Offset: 1

Views

Author

Antti Karttunen, Apr 16 2002

Keywords

Links

Crossrefs

Compare to the plot of A082363 and A072620.
Inverse of A038776. Cf. also A057118.

A072619 Permutation of natural numbers obtained from the permutation A072088 (zero-based).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 10, 7, 8, 9, 6, 11, 12, 13, 14, 28, 15, 33, 37, 19, 24, 21, 22, 23, 30, 25, 26, 27, 16, 18, 20, 31, 38, 17, 34, 35, 36, 29, 32, 39, 40, 41, 42, 84, 43, 98, 112, 44, 46, 45, 103, 107, 85, 117, 121, 126, 56, 70, 89, 75, 79, 61, 66, 63, 64, 65, 72, 67, 68, 69
Offset: 0

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

See the comment at A072088.

Links

Crossrefs

Compare to the plot of A038776.
A072619(n) = A072621(n+1)-1. Inverse permutation: A072620. Cf. also A072088, A038776.

A072622 Permutation of natural numbers obtained from the permutation A072089 (one-based).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 11, 8, 9, 10, 7, 12, 13, 14, 15, 17, 29, 34, 30, 20, 31, 22, 23, 24, 21, 26, 27, 28, 16, 38, 25, 32, 39, 18, 35, 36, 37, 19, 33, 40, 41, 42, 43, 45, 48, 50, 49, 85, 113, 99, 104, 100, 86, 108, 88, 89, 57, 71, 90, 101, 91, 62, 92, 64, 65, 66, 63, 68, 69, 70, 58
Offset: 1

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

See the comment at A072088.

Links

Crossrefs

A072622(n) = A072620(n-1)+1. Inverse permutation: A072621. Cf. also A070041.
Showing 1-4 of 4 results.

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

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