cp's OEIS Frontend

A334389 Lexicographically earliest sequence of distinct positive integers such that the sum of [a(n) reversed] and [a(n+1) reversed] is a palindrome in base 10 (terms ending in zero permitted).

%I A334389 #58 Jun 02 2025 15:23:21
%S A334389 1,2,3,4,5,6,10,7,18,70,20,9,29,90,31,13,42,24,53,35,64,55,11,22,33,
%T A334389 44,75,45,21,12,32,23,43,34,54,65,56,63,8,19,80,30,14,41,25,52,36,83,
%U A334389 16,50,27,61,38,81,39,60,17,71,28,91,74,46,73,15,40,26,51,37,62,57,66,58,67
%N A334389 Lexicographically earliest sequence of distinct positive integers such that the sum of [a(n) reversed] and [a(n+1) reversed] is a palindrome in base 10 (terms ending in zero permitted).
%C A334389 Terms ending in zero are permitted; when they are reversed, the leading zero(s) is (are) erased.
%H A334389 Carole Dubois, <a href="/A334389/b334389.txt">Table of n, a(n) for n = 1..5001</a>
%e A334389 a(6) = 6 and a(7) = 10; the addition 6 + (0)1 is a palindrome (7).
%e A334389 a(7) = 10 and a(8) = 7; the addition (0)1 + 7 is a palindrome (8).
%e A334389 a(8) = 7 and a(9) = 18; the addition 7 + 81 is a palindrome (88).
%e A334389 a(9) = 18 and a(10) = 70; the addition 81 + (0)7 is a palindrome (88).
%e A334389 a(10) = 70 and a(11) = 20; the addition (0)7 + (0)2 is a palindrome (9). Etc.
%Y A334389 Cf. A228730 (the sum of two consecutive terms is a palindrome in base 10).
%K A334389 nonn,base,look
%O A334389 1,2
%A A334389 _Eric Angelini_ and _Carole Dubois_, Sep 28 2020