The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A190803 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A190803

Increasing sequence generated by these rules: a(1)=1, and if x is in a then 2x-1 and 3x-1 are in a.
(history; published version)

#26 by Bruno Berselli at Sun Nov 29 13:46:27 EST 2015

STATUS

proposed

approved

#25 by Michel Marcus at Sun Nov 29 04:27:34 EST 2015

STATUS

editing

proposed

Discussion

Sun Nov 29

09:00

Jon E. Schoenfield: Looks good, thanks!

#24 by Michel Marcus at Sun Nov 29 04:27:21 EST 2015

EXAMPLE

1 -> 2 -> 3,5 -> 8,9,14 -> 15,17,23,26,27,41 -> ...

STATUS

proposed

editing

Discussion

Sun Nov 29

04:27

Michel Marcus: ok like this ?

#23 by Jon E. Schoenfield at Sun Nov 29 04:20:45 EST 2015

STATUS

editing

proposed

Discussion

Sun Nov 29

04:26

Michel Marcus: same thing : another series of terms followed by -> ... or simply ...

#22 by Jon E. Schoenfield at Sun Nov 29 04:20:25 EST 2015

NAME

Increasing sequence generated by these rules: a(1)=1, and if x is in a then 2x-1 and 3x-1 are in a.

COMMENTS

This sequence represents a class of sequences generated by rules of the form "a(1)=1, and if x is in a then hx+i and jx+k are in a, where h,i,j,k are integers." If m>1, at least one of the numbers b(m)=(a(m)-i)/h and c(m)=(a(m)-k)/j is in the set N of natural numbers. Let d(n) be the n-th b(m) in N, and let e(n) be the n-th c(m) in N. Note that a is a subsequence of both d and e.

STATUS

proposed

editing

Discussion

Sun Nov 29

04:20

Jon E. Schoenfield: Is the abrupt ending of the Example entry okay?

#21 by Michel Marcus at Sun Nov 29 04:00:35 EST 2015

STATUS

editing

proposed

#20 by Michel Marcus at Sun Nov 29 04:00:23 EST 2015

LINKS

David Garth and Adam Gouge, <a href="httphttps://www.cs.uwaterloo.ca/journals/JIS/VOL10/Garth/garth14.pdfhtml">Affinely Self-Generating Sets and Morphisms</a>, Journal of Integer Sequences, 10 (2007) 1-13.

STATUS

approved

editing

Discussion

Sun Nov 29

04:00

Michel Marcus: link to abstract

#19 by Russ Cox at Mon Aug 11 22:45:46 EDT 2014

LINKS

David Garth and Adam Gouge, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL10/Garth/garth14.pdf">Affinely Self-Generating Sets and Morphisms</a>, Journal of Integer Sequences, 10 (2007) 1-13.

Discussion

Mon Aug 11

22:45

OEIS Server: https://oeis.org/edit/global/2322

#18 by Charles R Greathouse IV at Sat Jul 13 12:04:09 EDT 2013

LINKS

_Reinhard Zumkeller_, , <a href="/A190803/b190803.txt">Table of n, a(n) for n = 1..10000</a>

Discussion

Sat Jul 13

12:04

OEIS Server: https://oeis.org/edit/global/1934

#17 by N. J. A. Sloane at Fri Feb 22 21:38:40 EST 2013

LINKS

_Reinhard Zumkeller, _, <a href="/A190803/b190803.txt">Table of n, a(n) for n = 1..10000</a>

PROG

-- _Reinhard Zumkeller, _, Jun 01 2011

Discussion

Fri Feb 22

21:38

OEIS Server: https://oeis.org/edit/global/1866