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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A073204 Array of LCMs-of-cycle-lengths sequences for the table A073200.

Original entry on oeis.org

1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 6, 2, 1, 1, 2, 2, 2, 12, 2, 2, 1, 1, 2, 2, 2, 120, 2, 6, 2, 1, 1, 2, 2, 2, 120, 2, 12, 4, 1, 1, 1, 2, 2, 2, 840, 2, 120, 8, 1, 2, 1, 1, 2, 2, 2, 840, 2, 120, 16, 1, 4, 1, 1, 1, 2, 2, 2, 5040, 2, 840, 32, 1, 8, 2, 2, 1, 1
Offset: 0

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Author

Antti Karttunen, Jun 25 2002

Keywords

Comments

Each row of this table gives the least common multiple of all cycle lengths produced by the Catalan bijection (given in the corresponding row of A073200) when it acts on A000108(n) structures encoded in the range [A014137(n-1)..A014138(n-1)] of the sequence A014486/A063171.

Links

  • A. Karttunen, Gatomorphisms (With the complete source and explanation)

Crossrefs

Cf. also A073201-A073203.
Few EIS-sequences occur in this table. The first known occurrences are: rows 6 and 8: A011782, Row 7: A000012, Row 2614: A060114, Row 2618 (?), ..., 17517: A057544.

A079437 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A071661.

Original entry on oeis.org

1, 1, 2, 3, 6, 16, 36, 83, 190, 448, 1056, 2514, 5872, 13806, 32424, 76609, 181434, 432062, 1032716
Offset: 0

Views

Author

Antti Karttunen, Jan 27 2003

Keywords

Comments

That is, number of orbits to which "Catalan bijections" A071661/A071662 partition each A000108(n) Catalan tree structures encoded in A014486[A014137(n-1)..A014138(n-1)].

Links

Crossrefs

Occurs in A073201 as row 13373289.
Cf. A079438, A079439, A057507, A079441.

A079441 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A071663.

Original entry on oeis.org

1, 1, 1, 4, 7, 24, 48, 128, 259, 646, 1426, 3458, 7924, 19054, 44684, 107586, 255971, 617012, 1482096
Offset: 0

Views

Author

Antti Karttunen, Jan 27 2003

Keywords

Comments

That is, number of orbits to which "Catalan bijections" A071663/A071664 partition each A000108(n) Catalan tree structures encoded in A014486[A014137(n-1)..A014138(n-1)].

Links

Crossrefs

Occurs in A073201 as row 176609070820803.
Cf. A057507, A079437, A079442, A079443.
Previous Showing 11-13 of 13 results.

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

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