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 1-5 of 5 results.

A072787 Permutation of natural numbers induced by reranking plane binary trees given in the standard lexicographic order (A014486) with an "arithmetic global ranking algorithm", using A072734 as the packing bijection N X N -> N.

Original entry on oeis.org

0, 1, 3, 2, 6, 5, 13, 8, 4, 14, 10, 36, 20, 9, 25, 19, 24, 11, 12, 18, 38, 16, 7, 44, 27, 209, 77, 21, 105, 66, 104, 28, 35, 65, 230, 54, 15, 34, 33, 75, 43, 26, 85, 50, 40, 37, 22, 31, 191, 67, 23, 51, 41, 69, 107, 68, 49, 92, 30, 29, 32, 56, 211, 46, 17, 299, 120, 5671
Offset: 0

Views

Author

Antti Karttunen, Jun 12 2002

Keywords

Comments

This ranking scheme condenses the structures of the same size (cf. A072789) somewhat better than scheme presented in A072656 (which uses the N X N -> N bijection A072793). Compare the sequences A072790 and A072640 giving the max positions where the last structure with size n will occur in these orderings and the respective binary widths A072791 & A072642. However, by using the second or third power of the bijection A072734 one gets even better results in a certain range.

Links

Crossrefs

Inverse permutation: A072788. Cf. also A014486, A072734, A072789.

A072640 Maximum position in A072660 where the value n occurs.

Original entry on oeis.org

0, 1, 3, 11, 100, 2090, 415729, 15670134831, 2990945138477441778, 28553369883190773267638351857949, 22025764139998888788032314837232820672093881927968648914
Offset: 0

Views

Author

Antti Karttunen, Jun 02 2002

Keywords

Crossrefs

Binary width of each term: A072642. Cf. A072638, A072639, A072654.

A072641 Binary widths of the terms of A072638.

Original entry on oeis.org

0, 1, 2, 4, 7, 12, 22, 42, 83, 164, 326, 651, 1301, 2601, 5201, 10400, 20798, 41594, 83187, 166373, 332744, 665487, 1330972, 2661943, 5323885, 10647769, 21295536, 42591070, 85182139, 170364276, 340728551, 681457100
Offset: 0

Views

Author

Antti Karttunen, Jun 02 2002

Keywords

Crossrefs

Cf. A072642, A072655.

Extensions

More terms from Sean A. Irvine, Oct 17 2024

A072655 Binary widths of the terms of A072654.

Original entry on oeis.org

0, 1, 3, 5, 8, 14, 26, 49, 94, 183, 362, 718, 1429, 2852, 5696, 11384
Offset: 0

Views

Author

Antti Karttunen, Jun 02 2002

Keywords

Crossrefs

Cf. A072641, A072642.

Extensions

a(11)-a(15) from Sean A. Irvine, Oct 18 2024

A072791 Binary widths of A072790.

Original entry on oeis.org

0, 1, 2, 4, 6, 8, 13, 23, 43, 82, 160, 316, 628, 1252, 2500, 4997
Offset: 0

Views

Author

Antti Karttunen, Jun 12 2002

Keywords

Crossrefs

See the comment at A072787. Compare for example with A072641 and A072642.

Extensions

a(12)-a(15) from Sean A. Irvine, Oct 27 2024
Showing 1-5 of 5 results.

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