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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A081158 Number of even cycles in range [A014137(2n-1)..A014138(2n-1)] of permutation A057505/A057506, with no fixed points of A057164.

Original entry on oeis.org

0, 0, 0, 8, 60, 402, 2474, 14496, 84282, 492048
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Crossrefs

Cf. A081157, A081151, A001700.
Cf. A014137, A014138, A057505, A057506, A057164.

Formula

a(n) = A081157(2n) = A081151(n) - A001700(n-1) [where A001700(-1) is taken as 0 here].

A081159 Number of even cycles in range [A014137(2n)..A014138(2n)] of permutation A057505/A057506, with no fixed points of either A057163 or A057164.

Original entry on oeis.org

0, 0, 2, 20, 148, 986, 5918, 34708, 202664
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Crossrefs

Cf. A081157, A014137, A014138, A057505, A057506, A057163, A057164.

Formula

a(n) = A081157(2n+1).

A081161 Number of even cycles in range [A014137(2n)..A014138(2n)] of permutation A057505/A057506, with two fixed-points of A057164.

Original entry on oeis.org

0, 1, 4, 16, 60, 225, 848, 3188, 12095
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Crossrefs

Cf. A081160, A014137, A014138, A057505, A057506, A057164.

Formula

a(n) = A081160(2n+1).

A086585 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutations A085169/A085170.

Original entry on oeis.org

1, 1, 2, 4, 8, 18, 40, 86, 198, 438, 982, 2218, 5072, 11642
Offset: 0

Views

Author

Antti Karttunen, Jun 23 2003

Keywords

Crossrefs

Cf. A014137, A014138, A085169, A085170.

A089403 Least common multiple of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of permutation A071661/A071662.

Original entry on oeis.org

1, 1, 1, 3, 3, 15, 60, 360, 7560, 582120, 7567560, 141965858433999600
Offset: 0

Views

Author

Antti Karttunen, Nov 29 2003

Keywords

Links

Crossrefs

Cf. A089871, A089875.

A089404 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A073286/A073287.

Original entry on oeis.org

1, 1, 2, 4, 10, 26, 74, 222, 698, 2264, 7536, 25600, 88406, 309440, 1095354, 3914340, 14102324, 51165004, 186774368, 685495334, 2527957006
Offset: 0

Views

Author

Antti Karttunen, Nov 29 2003

Keywords

Comments

The number of orbits to which the corresponding automorphism(s) partitions the set of A000108(n) binary trees with n internal nodes.

Links

A089422 Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A082335/A082336 (and also of A082349/A082350, to be proved).

Original entry on oeis.org

1, 1, 2, 3, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38
Offset: 0

Views

Author

Antti Karttunen, Nov 29 2003

Keywords

Links

Crossrefs

Cf. A005843.

A089844 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A089865/A089866.

Original entry on oeis.org

1, 1, 2, 4, 9, 23, 68, 205, 655, 2147, 7218, 24686, 85760, 301458, 1070820, 3836693, 13851191, 50333389, 183965474, 675825400, 2494114694
Offset: 0

Views

Author

Antti Karttunen, Dec 20 2003

Keywords

Comments

The number of orbits to which the corresponding automorphism(s) partitions the set of A000108(n) binary trees with n internal nodes.

Links

A089845 Least common multiple of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of permutation A089865/A089866.

Original entry on oeis.org

1, 1, 1, 2, 10, 70, 630, 6930, 90090, 90090, 1531530, 29099070, 29099070, 669278610, 3346393050, 10039179150, 291136195350, 9025222055850, 9025222055850, 9025222055850, 333933216066450
Offset: 0

Views

Author

Antti Karttunen, Dec 20 2003

Keywords

Links

A089846 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A089867/A089868.

Original entry on oeis.org

1, 1, 2, 5, 13, 35, 100, 296, 903, 2857, 9274, 30852, 104784, 362108, 1269324, 4502624, 16130539, 58271303, 212001890, 776027286, 2855731796
Offset: 0

Views

Author

Antti Karttunen, Dec 20 2003

Keywords

Comments

The number of orbits to which the corresponding automorphism(s) partitions the set of A000108(n) binary trees with n internal nodes.

Links

Previous Showing 51-60 of 292 results. Next

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

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