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.

A114727 Numbers that are the least element of a k-cycle (k > 1) of permutation A114650.

Original entry on oeis.org

2, 5, 7, 12, 31, 33, 37, 51, 80, 219, 221, 225, 271, 377, 590, 592, 594, 596, 600, 602, 604, 606, 610, 618, 620, 624, 626, 638, 666, 668, 676, 734, 792, 1024, 1605, 1607, 4358, 4360, 4362, 4364, 4366, 4368, 4370, 4372, 4376, 4378, 4380, 4384, 4386, 4388
Offset: 1

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Author

Klaus Brockhaus, Dec 29 2005

Keywords

Comments

The corresponding cycle lengths are given in A114728.
Elements of 1-cycles (fixed points) are given in A114726.

Examples

			(792,1198,1401,995) is a cycle of permutation A114650, so 792 is a term.

Crossrefs

Cf. A114650, A114728, A114726.

A114726 Fixed points of permutation A114650.

Original entry on oeis.org

1, 4, 11, 30, 79, 218, 589, 1604, 4357, 11850, 32203, 87546, 237963, 646864
Offset: 1

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Author

Klaus Brockhaus, Dec 29 2005, Jan 10 2006

Keywords

Comments

Observation: A001671(n) < a(n) < A001671(n+1) for 1 < n <= 14.
Conjecture: Sequence is infinite and lim n -> infinity a(n+1)/a(n) = e = 2.718281828...

Examples

			A114650(11) = 11, so 11 is a term.

Crossrefs

Cf. A114650, A114727, A001671.

A114651 Inverse permutation to sequence A114650.

Original entry on oeis.org

1, 3, 2, 4, 6, 8, 10, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65
Offset: 1

Views

Author

Leroy Quet, Dec 21 2005

Keywords

Crossrefs

Cf. A114650.

Extensions

More terms from Klaus Brockhaus, Dec 25 2005

A112664 Lengths of k-cycles (k > 1) of permutation A114650 in order of their first appearance.

Original entry on oeis.org

2, 3, 18, 21, 138, 156, 52, 84, 28, 12, 4, 1376, 406, 7, 58, 2544, 3953, 16686, 5562, 1854, 618, 162, 54, 6, 47256, 11814, 1432, 264, 179, 66, 8
Offset: 1

Views

Author

Klaus Brockhaus, Jan 11 2006

Keywords

Comments

Sequence A114728 without repetition.

Examples

			(792,1198,1401,995) is the first 4-cycle of A114650, all of the 32 preceding cycles (cf. A114727) have length 2, 3, 18, 21, 138, 156, 52, 84, 28 or 12 (ten different values), hence a(11) = 4.

Crossrefs

Cf. A114650, A114728, A114727.

A114728 a(n) is the cycle length corresponding to A114727(n).

Original entry on oeis.org

2, 3, 3, 18, 21, 21, 3, 3, 138, 156, 156, 52, 3, 3, 84, 84, 84, 28, 84, 84, 84, 84, 28, 12, 84, 28, 84, 28, 28, 84, 12, 3, 4, 3, 1376, 1376, 406, 406, 406, 406, 406, 406, 406, 406, 406, 406, 406, 406, 406, 406, 406, 406, 406, 7, 406, 58, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7
Offset: 1

Views

Author

Klaus Brockhaus, Dec 29 2005

Keywords

Comments

Besides 1 for fixed points the following lengths of cycles with elements <= 250000 occur: 2, 3, 4, 6, 7, 12, 18, 21, 28, 52, 54, 58, 84, 138, 156, 162, 406, 618, 1376, 1854, 2544, 3953, 5562, 16686.

Examples

			A114727(33) = 792 belongs to the 4-cycle (792,1198,1401,995), so a(33) = 4.

Crossrefs

Cf. A114650, A114727.
Showing 1-5 of 5 results.

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

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