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Lexicographically first sequence of different positive terms such that a(n) - [the first digit of a(n+1)] is a palindrome.
4

%I #5 Aug 27 2018 08:15:33

%S 1,10,2,11,3,12,4,13,5,14,6,15,7,16,8,17,9,18,70,40,71,50,60,51,72,61,

%T 62,73,74,80,30,81,41,82,52,83,63,84,75,90,20,91,31,92,42,93,53,94,64,

%U 95,78,19,85,86,96,89,100,101,23,102,34,103,24,25,35,26,45,104,36,37,46,27,56,105,47,38,57,28,67,106,58,39

%N Lexicographically first sequence of different positive terms such that a(n) - [the first digit of a(n+1)] is a palindrome.

%H Jean-Marc Falcoz, <a href="/A318486/b318486.txt">Table of n, a(n) for n = 1..10001</a>

%e The sequence starts with 1,10,2,11,3,12,4,13,5,14,6… and we see that [1 - (the first digit of 10 = 1)] is a palindrome (0); [10 - (the first digit of 2 = 2)] is a palindrome (8); [2 - (the first digit of 11 = 1)] is a palindrome (1); [11 - (the first digit of 3 = 3)] is a palindrome (8); etc.

%K base,nonn,look

%O 1,2

%A _Eric Angelini_ and _Jean-Marc Falcoz_, Aug 27 2018