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A303880 Lexicographically earliest sequence of distinct terms such that a(n) shares at least one even digit with a(n+1). 2
2, 12, 20, 10, 30, 40, 4, 14, 24, 21, 22, 23, 25, 26, 6, 16, 36, 46, 34, 41, 42, 27, 28, 8, 18, 38, 48, 43, 44, 45, 47, 49, 54, 64, 56, 60, 50, 70, 80, 58, 68, 61, 62, 29, 32, 52, 72, 82, 78, 81, 83, 84, 74, 94, 104, 90, 100, 101, 102, 92, 112, 120, 103, 105, 106, 63, 65, 66, 67, 69, 76 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The sequence starts with a(1) = 2 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 A014261 (Numbers that contain odd digits only) will ever show.

LINKS

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

EXAMPLE

a(1) = 2 shares 2 with 12;

a(2) = 12 shares 2 with 20;

a(3) = 20 shares 0 with 10;

a(4) = 10 shares 0 with 30;

a(5) = 30 shares 0 with 40;

a(6) = 40 shares 4 with 4;

a(7) = 4 shares 4 with 14;

a(8) = 14 shares 4 with 24;

etc.

CROSSREFS

Cf. A303879 for the same idea with odd digits.

Sequence in context: A259409 A073257 A240905 * A174977 A011532 A277964

Adjacent sequences:  A303877 A303878 A303879 * A303881 A303882 A303883

KEYWORD

nonn,base

AUTHOR

Eric Angelini and Jean-Marc Falcoz, May 02 2018

STATUS

approved

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Last modified November 19 00:12 EST 2019. Contains 329310 sequences. (Running on oeis4.)