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

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