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.

A081150 Number of even cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.

Original entry on oeis.org

0, 0, 1, 1, 3, 6, 18, 37, 95, 212, 528, 1226, 2936, 6822, 16212, 38081, 90717, 215414, 516358
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Comments

For the convenience of the range notation above, we define A014137(-1) and A014138(-1) as zero.

Links

Crossrefs

Bisections: A081151, A081152.
Cf. A081157, A081160, A081162, A057507, A081148.
Cf. A014137, A014138, A057505, A057506.

Formula

a(n) = A081157(n) + A081160(n) + A081162(n) = A057507(n) - A081148(n).

A081160 Number of even cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506, with two fixed-points of A057164.

Original entry on oeis.org

0, 0, 1, 1, 3, 4, 10, 16, 35, 60, 126, 225, 462, 848, 1716, 3188, 6435, 12095, 24310
Offset: 0

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Crossrefs

Bisections: A001700 (shifted right and prepended with zero) and A081161.
Cf. A081150, A081157, A081162.
Cf. A014137, A014138, A057505, A057506, A057164.

A081162 Number of even cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506, with two fixed-points of A057163.

Original entry on oeis.org

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

Views

Author

Wouter Meeussen and Antti Karttunen, Mar 10 2003

Keywords

Comments

Because A057163 can fix only binary trees of odd size, the even-indexed terms are all 0.

Crossrefs

Bisection: A081163. Cf. A081150, A081157, A081160.
Cf. A014137, A014138, A057505, A057506, A057163.

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).
Showing 1-5 of 5 results.

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

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