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

1,2

Comments

Is this sequence a permutation of the positive integers?

Links

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

Example

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.

Crossrefs

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

Sequence in context: A350190 A039061 A138987 * A265405 A171610 A004835

Adjacent sequences: A318531 A318532 A318533 * A318535 A318536 A318537

Keyword

base,look,nonn

Author

Jean-Marc Falcoz and Eric Angelini, Aug 28 2018

Status

approved