A290386 - OEIS

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.

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 34, 51, 62, 71, 82, 91, 234, 516, 723, 814, 923, 1456, 2378, 4156, 7238, 9145, 23678

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

The fact that the sequence is increasing makes it finite.

LINKS

Table of n, a(n) for n=1..27.

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).

CROSSREFS

Sequence in context: A118575 A327453 A289791 * A290388 A302504 A165307

Adjacent sequences: A290383 A290384 A290385 * A290387 A290388 A290389

KEYWORD

nonn,base,fini,full

AUTHOR

Enrique Navarrete, Jul 28 2017

STATUS

approved