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, 2, 3, 4, 5, 6, 16, 7, 15, 18, 9, 13, 20, 12, 10, 23, 21, 34, 26, 29, 37, 40, 32, 24, 31, 35, 27, 17, 38, 28, 49, 39, 60, 41, 8, 14, 19, 25, 30, 36, 52, 47, 54, 43, 45, 56, 55, 11, 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

Offset: 1

Author

Jean-Marc Falcoz and Eric Angelini, Aug 28 2018

Keywords

• base
• look
• nonn

Comments

Is this sequence a permutation of the positive integers?

Examples

			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.
		

Links

• Jean-Marc Falcoz, Table of n, a(n) for n = 1..10001

Crossrefs

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