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.

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A072645 Size of the parenthesizations obtained with the global ranking/unranking scheme A072646/A072647.

Original entry on oeis.org

0, 1, 2, 3, 2, 4, 3, 3, 5, 3, 4, 4, 4, 7, 4, 4, 5, 3, 6, 5, 5, 9, 4, 5, 5, 5, 6, 4, 5, 7, 6, 6, 6, 5, 10, 5, 4, 5, 4, 5, 6, 6, 6, 4, 5, 6, 5, 8, 7, 7, 7, 6, 8, 6, 7, 11, 5, 6, 5, 6, 6, 5, 4, 6, 7, 6, 6, 6, 8, 5, 6, 7, 5, 7, 6, 6, 10, 8, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 6, 12, 6, 5, 6, 4, 7, 7, 7, 8, 5, 6, 5, 6
Offset: 0

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Author

Antti Karttunen, Jun 02 2002

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Each value v occurs A000108(v) times. The maximum position for value v to occur is A072654(v). Permutations: A071673, A072643, A072644, A072660.

A072635 Inverse permutation to A072634.

Original entry on oeis.org

0, 1, 3, 2, 6, 8, 7, 19, 16, 5, 15, 4, 14, 52, 43, 51, 42, 20, 22, 53, 60, 21, 61, 56, 179, 155, 178, 154, 177, 164, 557, 163, 556, 11, 39, 13, 41, 151, 123, 153, 125, 12, 40, 33, 117, 152, 124, 471, 381, 477, 553, 479, 555, 505, 1797, 507, 1799, 478, 554, 1536
Offset: 0

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Author

Antti Karttunen, Jun 02 2002

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A072644 gives the size of the corresponding parenthesizations, i.e. A072644(n) = A029837(A014486(A072635(n))+1)/2 [A029837(n+1) gives the binary width of n].
A072635(n) = A057163(A072637(n)). Cf. also A014486, A059905, A059906, A071652, A072647, A072637.

A072646 Composition of the permutations A048680 & A072636, i.e., a(n) = A048680(A072636(n)).

Original entry on oeis.org

0, 1, 2, 4, 6, 7, 3, 9, 17, 15, 27, 14, 36, 62, 12, 5, 10, 38, 43, 11, 22, 93, 161, 150, 159, 91, 993, 1624, 28, 35, 61, 384, 413, 69, 235, 2591, 4243, 16, 46, 25, 37, 39, 19, 20, 24, 242, 415, 44, 237, 1606, 2627, 33, 8, 23, 72, 56, 58, 98, 1004, 1080, 100, 111, 614
Offset: 0

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Author

Antti Karttunen, Jun 02 2002

Keywords

Links

Crossrefs

Inverse permutation A072647.
Showing 1-3 of 3 results.

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