A318533 Lexicographically first sequence of distinct positive integers such that a(n) + [the first digit of a(n+1)] is a palindrome in base 10.

1, 2, 3, 4, 5, 6, 10, 13, 9, 20, 21, 14, 8, 15, 7, 16, 60, 61, 50, 51, 40, 41, 30, 31, 24, 90, 91, 80, 81, 70, 71, 62, 42, 25, 82, 63, 32, 17, 52, 35, 92, 72, 53, 26, 73, 43, 18, 46, 93, 64, 27, 65, 19, 36, 83, 54, 100, 102, 94, 57, 95, 47, 84, 48, 74, 37, 75, 28, 58, 85, 38, 68, 96, 39, 59, 76, 103, 86, 29, 49, 69, 87, 104

Offset: 1

Author

Eric Angelini and Jean-Marc Falcoz, Aug 28 2018

Keywords

• nonn
• base
• look

Examples

			The sequence starts with 1,2,3,4,5,6,10,13,9,... and we see that [1 + (the first digit of 2)] is a palindrome (3); [2 + (the first digit of 3)] is a palindrome (5); [3 + (the first digit of 4)] is a palindrome (7); [4 + (the first digit of 5)] is a palindrome (9); [5 + (the first digit of 6)] is a palindrome (11); [6 + (the first digit of 10)] is a palindrome (7); [10 + (the first digit of 13)] is a palindrome (11); [13 + (the first digit of 9)] is a palindrome (22); etc.
		

Links

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

Crossrefs

Cf. A318486 for a subtraction of the first digit of a(n+1) instead of the addition.