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 1-4 of 4 results.

A226684 Integer k associated with the conjectured record-breaking maximal element A226683(n) of primitive 3x-k cycles.

Original entry on oeis.org

1, 17, 19, 23, 121, 131, 311, 313, 467, 5137, 56413, 66781, 143369
Offset: 1

Views

Author

Geoffrey H. Morley, Jun 15 2013

Keywords

Crossrefs

Cf. A226668, A226685.

A226685 Minimal element in the primitive 3x-k cycle with the conjectured record-breaking maximal element A226683(n).

Original entry on oeis.org

17, 65, 115, 2963, 1085, 7471, 21239, 6329, 436099, 4476457, 1104989, 21111517, 64112905
Offset: 1

Views

Author

Geoffrey H. Morley, Jun 15 2013

Keywords

Crossrefs

k = A226684(n).
Cf. A226669.

A226624 Irregular array read by rows. a(n) is the largest element in the primitive Collatz-like 3x-k cycle associated with A226623(n).

Original entry on oeis.org

1, 7, 91, 29, 179, 143, 505, 17033, 16793, 15497, 31613, 19589, 25781, 15845, 12137, 2011, 311, 517, 103, 19031, 24623, 8339, 811, 2609, 7387, 2995, 18275, 601, 493, 421, 1577, 74611, 13699, 1793597, 275693, 177521, 226769, 144881
Offset: 1

Views

Author

Geoffrey H. Morley, Jun 13 2013

Keywords

Examples

			The irregular array starts:
(k=1)  1, 7, 91;
(k=11) 29;
(k=17) 179, 143;
(k=19) 505;
a(4)=29 is the largest element in the 3x-11 cycle {19,23,29,38} associated with A226623(4)=19.

Links

Crossrefs

Row n begins with a(A226628(n)) and has length A226629(n). k=A226630(n).
The cycle associated with a(n) has length A226625(n) and A226626(n) odd elements.
Cf. A226608, A226627, A226683, A226684, A226685.

A226667 Conjectured record-breaking values, for ascending positive integers k, of the maximal element of the primitive cycles of positive integers under iteration by the Collatz-like 3x+k function.

Original entry on oeis.org

1, 3397, 2277097, 106035623, 128946539, 153247321, 885327131, 6372904817, 52894692341, 95712964765, 301829916841, 1846456176103, 2697688935023, 10281192195005, 10556691785131, 13239192635131
Offset: 1

Views

Author

Geoffrey H. Morley, Jun 15 2013

Keywords

Comments

A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.
The 3x+k function T_k is defined by T_k(x) = x/2 if x is even, (3x+k)/2 if x is odd.
For primitive cycles, GCD(k,6)=1.

Crossrefs

k = A226668(n). The smallest integer in the T_k cycle associated with a(n) is A226669(n).
Cf. A226608, A226683.
Showing 1-4 of 4 results.

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

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