A331626 - OEIS

%I #8 Jan 25 2020 09:19:23

%S 1,2,3,4,5,6,7,8,9,11,22,14,25,18,26,17,23,44,12,33,15,24,31,27,13,42,

%T 16,28,19,36,21,34,52,37,29,35,41,38,54,32,45,62,39,46,51,47,53,48,55,

%U 43,56,73,49,57,63,58,64,59,68,72,66,75,69,82,65,74,88,67,83,76,133,87,113,89,77,84,79,85

%N Lexicographically earliest sequence of distinct positive terms such that a(n), a(n+1) and a(n) + a(n+1) have no digit in common.

%H Carole Dubois, <a href="/A331626/b331626.txt">Table of n, a(n) for n = 1..550</a>

%e a(1) = 1, a(2) = 2 and their sum 3 have no digit in common;

%e a(2) = 2, a(3) = 3 and their sum 5 have no digit in common;

%e a(3) = 3, a(4) = 4 and their sum 7 have no digit in common;

%e ...

%e a(9) = 9, a(10) = 11 and their sum 20 have no digit in common;

%e a(10) = 11, a(6) = 22 and their sum 33 have no digit in common;

%e a(11) = 22, a(7) = 14 and their sum 36 have no digit in common; etc.

%Y Cf. A331604 (the three terms have at least one digit in common)

%K base,nonn

%O 1,2

%A _Carole Dubois_ and _Eric Angelini_, Jan 23 2020