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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

%I

%S 2,12,20,10,30,40,4,14,24,21,22,23,25,26,6,16,36,46,34,41,42,27,28,8,

%T 18,38,48,43,44,45,47,49,54,64,56,60,50,70,80,58,68,61,62,29,32,52,72,

%U 82,78,81,83,84,74,94,104,90,100,101,102,92,112,120,103,105,106,63,65,66,67,69,76

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

%C The sequence starts with a(1) = 2 and is always extended with the smallest integer not present that doesn't lead to a contradiction.

%C The sequence is not a permutation of the integers > 0 as no term of A014261 (Numbers that contain odd digits only) will ever show.

%H Jean-Marc Falcoz, <a href="/A303880/b303880.txt">Table of n, a(n) for n = 1..1001</a>

%e a(1) = 2 shares 2 with 12;

%e a(2) = 12 shares 2 with 20;

%e a(3) = 20 shares 0 with 10;

%e a(4) = 10 shares 0 with 30;

%e a(5) = 30 shares 0 with 40;

%e a(6) = 40 shares 4 with 4;

%e a(7) = 4 shares 4 with 14;

%e a(8) = 14 shares 4 with 24;

%e etc.

%Y Cf. A303879 for the same idea with odd digits.

%K nonn,base,changed

%O 1,1

%A _Eric Angelini_ and _Jean-Marc Falcoz_, May 02 2018

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Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)