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 1-3 of 3 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.]

Crossrefs

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

A072620 Permutation of natural numbers obtained from the permutation A072089 (zero-based).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 10, 7, 8, 9, 6, 11, 12, 13, 14, 16, 28, 33, 29, 19, 30, 21, 22, 23, 20, 25, 26, 27, 15, 37, 24, 31, 38, 17, 34, 35, 36, 18, 32, 39, 40, 41, 42, 44, 47, 49, 48, 84, 112, 98, 103, 99, 85, 107, 87, 88, 56, 70, 89, 100, 90, 61, 91, 63, 64, 65, 62, 67, 68, 69, 57
Offset: 0

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

See the comment at A072088.

Crossrefs

Compare to the plot of A070041.
A072620(n) = A072622(n+1)-1. Inverse permutation: A072619. Cf. also A072089, A070041.

A072621 Permutation of natural numbers obtained from the permutation A072088 (one-based).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 11, 8, 9, 10, 7, 12, 13, 14, 15, 29, 16, 34, 38, 20, 25, 22, 23, 24, 31, 26, 27, 28, 17, 19, 21, 32, 39, 18, 35, 36, 37, 30, 33, 40, 41, 42, 43, 85, 44, 99, 113, 45, 47, 46, 104, 108, 86, 118, 122, 127, 57, 71, 90, 76, 80, 62, 67, 64, 65, 66, 73, 68, 69, 70
Offset: 1

Views

Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

See the comment at A072088.

Crossrefs

A072621(n) = A072619(n-1)+1. Inverse permutation: A072622. Cf. also A038776.
Showing 1-3 of 3 results.