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A318534 Lexicographically first sequence of distinct positive integers such that [a(n) + a(n+1)] or [a(n) - a(n+1)] is a palindrome in base 10. 1

%I #10 Sep 04 2018 15:18:46

%S 1,2,3,4,5,6,16,7,15,18,9,13,20,12,10,23,21,34,26,29,37,40,32,24,31,

%T 35,27,17,38,28,49,39,60,41,8,14,19,25,30,36,52,47,54,43,45,56,55,11,

%U 22,44,33,66,65,46,42,57,64,67,74,77,84,87,94,97,105,76,75,86,85,96,95,107,115,117,125,127,135,137,145,147,48

%N Lexicographically first sequence of distinct positive integers such that [a(n) + a(n+1)] or [a(n) - a(n+1)] is a palindrome in base 10.

%C Is this sequence a permutation of the positive integers?

%H Jean-Marc Falcoz, <a href="/A318534/b318534.txt">Table of n, a(n) for n = 1..10001</a>

%e The sequence starts with 1,2,3,4,5,6,16,7,15,18,9,... and we see that [1 + 2] is a palindrome (3); [2 + 3] is a palindrome (5); [3 + 4] is a palindrome (7); [4 + 5] is a palindrome (9); [5 + 6] is a palindrome (11); [6 + 16] is a palindrome (22); [16 - 7] is a palindrome (9); [7 + 15] is a palindrome (22); etc.

%Y Cf A228730 (Lexicographically earliest sequence of distinct nonnegative integers such that the sum of two consecutive terms is a palindrome in base 10).

%K base,look,nonn

%O 1,2

%A _Jean-Marc Falcoz_ and _Eric Angelini_, Aug 28 2018

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)