A337865 - OEIS

%I #15 Sep 30 2020 14:56:35

%S 1,2,3,4,5,6,17,28,37,7,18,38,16,27,47,8,19,29,51,62,73,82,71,102,9,

%T 31,42,53,64,74,41,52,63,83,61,72,92,91,111,101,121,131,141,151,15,26,

%U 57,13,24,35,46,55,11,22,33,44,75,65,21,32,43,54,76,56,12,23,34,45,66

%N Lexicographically earliest sequence of distinct positive integers such that the sum of a(n) and [a(n+1) reversed] is a palindrome in base 10.

%C Terms ending in zero are not in the sequence; when reversed they produce a term with a leading zero.

%H Carole Dubois, <a href="/A337865/b337865.txt">Table of n, a(n) for n = 1..5001</a>

%e a(7) = 17 and a(8) = 28; the addition 17 + 82 is a palindrome (99).

%e a(8) = 28 and a(9) = 37; the addition 28 + 73 is a palindrome (101). Etc.

%Y Cf. A228730 (the sum of two consecutive terms is a palindrome in base 10).

%K nonn,base,look

%O 1,2

%A _Eric Angelini_ and _Carole Dubois_, Sep 27 2020