The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A290386

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A290386

Increasing sequence a(n)>a(n-1) where a(n)=smallest integer not yet in the sequence with no digits shared with the previous term a(n-1), no repeated digits, and no 0-digit allowed.
(history; published version)

#15 by N. J. A. Sloane at Wed Aug 02 12:11:50 EDT 2017

STATUS

proposed

approved

#14 by Enrique Navarrete at Wed Aug 02 10:46:31 EDT 2017

STATUS

editing

proposed

#13 by Enrique Navarrete at Wed Aug 02 10:46:12 EDT 2017

NAME

Increasing sequence a(n)>a(n-1) where a(n)=smallest integer not yet in the sequence with no digits shared with the previous term a(n-1), no repeated digits, and no 0-digit allowed.

COMMENTS

The fact that the sequence is increasing makes it finite.

#12 by Michel Marcus at Wed Aug 02 02:03:41 EDT 2017

STATUS

proposed

editing

Discussion

Wed Aug 02

10:42

Enrique Navarrete: Hello, yes, the sequence has the constraint that it is increasing and that is interesting since it makes it finite.  I specified increasing in the name but I think I will make it explicit by adding a(n) > a(n-1), thanks !

#11 by Michael De Vlieger at Tue Aug 01 08:46:41 EDT 2017

STATUS

editing

proposed

Discussion

Wed Aug 02

02:03

Michel Marcus: Enrique, what do you think ?

#10 by Michael De Vlieger at Tue Aug 01 08:44:54 EDT 2017

STATUS

proposed

editing

#9 by Michel Marcus at Mon Jul 31 03:45:30 EDT 2017

STATUS

editing

proposed

Discussion

Tue Aug 01

08:44

Michael De Vlieger: Why does 51 follow 34? I think 15 satisfies the criteria. If so, then we have {.., 15, 23, 14, 25, 13, 24, 16, 27, 18, 26, 17, 28, 19, 32, 41, 29, 31, ...} and I think the sequence then is infinite (it runs through all the numbers n such that n has neither repeated nor zero digits). This appears to have the additional constraint a(n) > a(n-1), rather than merely that a(n) is not already in the sequence.

#8 by Michel Marcus at Mon Jul 31 03:44:29 EDT 2017

EXAMPLE

12 follows 9 since 10 has the digit 0 and 11 has a repeated digit. 34 follows 12 since any number in between either shares a digit with 12, has a 0 (30), or a repeated digit (33).

34 follows 12 since any number in between either shares a digit with 12, has a 0 (30), or a repeated digit (33).

STATUS

proposed

editing

Discussion

Mon Jul 31

03:45

Michel Marcus: I don't really see the idea of these finite sequences

#7 by Enrique Navarrete at Sun Jul 30 23:41:17 EDT 2017

STATUS

editing

proposed

#6 by Enrique Navarrete at Sun Jul 30 23:41:04 EDT 2017

NAME

Increasing sequence where a(n)=smallest integer not yet in the sequence with no digits shared with the previous term a(n-1), no repeating repeated digits, and no 0-digit allowed.