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.

Previous Showing 31-40 of 292 results. Next

A127296 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A127289/A127290.

Original entry on oeis.org

1, 1, 1, 1, 3, 4, 2, 5, 7, 8, 10, 18, 10
Offset: 0

Views

Author

Antti Karttunen, Jan 16 2007

Keywords

A127384 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutations A127379/A127380 and A127381/A127382.

Original entry on oeis.org

1, 1, 2, 4, 9, 23, 62, 179, 543, 1705, 5482, 18056, 60634, 206824
Offset: 0

Views

Author

Antti Karttunen, Jan 16 2007

Keywords

Links

Crossrefs

A127383.

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.

A079439 Longest cycle in range [A014137(n-1)..A014138(n-1)] of permutation A071661.

Original entry on oeis.org

1, 1, 1, 3, 3, 5, 12, 36, 72, 147, 294, 336, 1068, 5076, 5760, 14742, 58968, 135288, 328176
Offset: 0

Views

Author

Antti Karttunen, Jan 27 2003

Keywords

Links

Crossrefs

Occurs in A073203 as row 13373289. Cf. A079437, A079438, A079443.

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.

A079443 The longest cycle in range [A014137(n-1)..A014138(n-1)] of permutation A071663.

Original entry on oeis.org

1, 1, 2, 2, 2, 5, 20, 24, 48, 49, 196, 224, 712, 3384, 3840, 9828, 39312, 90192, 218784
Offset: 0

Views

Author

Antti Karttunen, Jan 27 2003

Keywords

Links

Crossrefs

Occurs in A073203 as row 176609070820803. Cf. A079439, A079441, A079442.

A081153 Number of odd cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506, with no fixed points of either A057163 or A057164.

Original entry on oeis.org

0, 0, 0, 0, 0, 2, 0, 6, 0, 18, 0, 50, 0, 142, 0, 388, 0, 1114, 0
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen Mar 10 2003

Keywords

Crossrefs

Bisection: A081154.
Cf. A081148, A081155.
Cf. A014137, A014138, A057505, A057506, A057163, A057164.

Formula

a(n) = A081148(n)-A081155(n).

A081155 Number of odd cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506, with fixed-points of both A057163 and A057164.

Original entry on oeis.org

1, 1, 0, 1, 0, 2, 0, 3, 0, 6, 0, 12, 0, 20, 0, 59, 0, 120, 0
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Comments

See comment at A080973. Because A057163 can fix only binary trees of odd size, the even-indexed terms are all 0 after n>0.

Crossrefs

Bisection: A081156.
Cf. A081148, A081153.
Cf. A014137, A014138, A057505, A057506, A057163, A057164.

Formula

a(n) = A081148(n)-A081153(n).

A081163 Number of even cycles in range [A014137(2n)..A014138(2n)] of permutation A057505/A057506, with two fixed-points of A057163.

Original entry on oeis.org

0, 0, 0, 1, 4, 15, 56, 185, 655
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Crossrefs

Cf. A081162, A000108, A081156.
Cf. A014137, A014138, A057505, A057506, A057163.

Formula

a(n) = A081162(2n+1) = (A000108(n) - A081156(n))/2.

A081164 Number of distinct cycle lengths in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.

Original entry on oeis.org

1, 1, 1, 2, 2, 4, 4, 11, 15, 25, 32, 64, 88, 155, 234, 423, 647, 1184, 1800
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Comments

This is the number of nonzero, non-constant terms of the polynomials M_n(x) Donaghey gives on the page 81 of his paper. The term x^18 seems to have been accidentally dropped from the polynomial M_7(x).

Links

Crossrefs

Cf. A081166, A060114.
Previous Showing 31-40 of 292 results. Next

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

Content is available under The OEIS End-User License Agreement.