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).

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, 44, 75, 45, 21, 12, 32, 23, 43, 34, 54, 65, 56, 63, 8, 19, 80, 30, 14, 41, 25, 52, 36, 83, 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

Offset: 1

Author

Eric Angelini and Carole Dubois, Sep 28 2020

Keywords

• nonn
• base
• look

Comments

Terms ending in zero are permitted; when they are reversed, the leading zero(s) is (are) erased.

Examples

			a(6) = 6 and a(7) = 10; the addition 6 + (0)1 is a palindrome (7).
a(7) = 10 and a(8) = 7; the addition (0)1 + 7 is a palindrome (8).
a(8) = 7 and a(9) = 18; the addition 7 + 81 is a palindrome (88).
a(9) = 18 and a(10) = 70; the addition 81 + (0)7 is a palindrome (88).
a(10) = 70 and a(11) = 20; the addition (0)7 + (0)2 is a palindrome (9). Etc.
		

Links

• Carole Dubois, Table of n, a(n) for n = 1..5001

Crossrefs

Cf. A228730 (the sum of two consecutive terms is a palindrome in base 10).