1,2

The sequence starts with a(1) = 1 and is always extended with the smallest integer not present that doesn't lead to a contradiction.

The sequence is not a permutation of the integers > 0 as no term of A014263 (Numbers that contain even digits only) will ever appear.

Jean-Marc Falcoz, Table of n, a(n) for n = 1..1001

a(1) = 1 shares 1 with 10;

a(2) = 10 shares 1 with 11;

a(3) = 11 shares 1 with 12;

a(4) = 12 shares 1 with 13;

a(5) = 13 shares 3 with 3;

a(6) = 3 shares 3 with 23;

a(7) = 23 shares 3 with 30;

etc.

Cf. A303880 for the same idea with even digits.

Sequence in context: A123895 A147519 A303657 * A305947 A100830 A180176

Adjacent sequences: A303876 A303877 A303878 * A303880 A303881 A303882

nonn,base

Eric Angelini and Jean-Marc Falcoz, May 02 2018

approved