A303879 Lexicographically earliest sequence of distinct terms such that a(n) shares at least one odd digit with a(n+1).

1, 10, 11, 12, 13, 3, 23, 30, 31, 14, 15, 5, 25, 35, 32, 33, 34, 36, 37, 7, 17, 16, 18, 19, 9, 29, 39, 38, 43, 53, 45, 50, 51, 21, 41, 61, 71, 27, 47, 57, 52, 54, 55, 56, 58, 59, 49, 69, 79, 67, 70, 72, 73, 63, 83, 93, 89, 90, 91, 81, 100, 101, 102, 103, 104, 105, 65, 75, 74, 76, 77, 78, 87

Offset

1,2

Comments

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.

Links

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

Example

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.

Crossrefs

Cf. A303880 for the same idea with even digits.

Sequence in context: A147519 A303657 A342367 * A305947 A100830 A180176

Adjacent sequences: A303876 A303877 A303878 * A303880 A303881 A303882

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, May 02 2018

Status

approved