A337880 Lexicographically earliest sequence of distinct positive integers such that the sum of a(n) and [a(n+1) reversed] is a palindrome in base 10 (terms ending in zero permitted).

1, 2, 3, 4, 5, 6, 10, 19, 28, 17, 48, 7, 18, 38, 16, 27, 47, 8, 30, 41, 52, 63, 83, 50, 15, 26, 37, 46, 9, 20, 31, 42, 53, 64, 73, 40, 51, 62, 93, 60, 14, 25, 36, 56, 12, 23, 34, 45, 65, 21, 32, 43, 54, 74, 72, 61, 102, 90, 11, 22, 33, 44, 55, 66, 57, 13, 24, 35, 67, 49, 29, 84, 71

Offset

1,2

Comments

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

Links

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

Example

a(6) = 6 and a(7) = 10; the addition 6 + (0)1 is a palindrome (7).
a(7) = 10 and a(8) = 19; the addition 10 + 91 is a palindrome (101).
a(8) = 19 and a(9) = 28; the addition 19 + 82 is a palindrome (101). Etc.

Crossrefs

Cf. A337865 (no term ending in zero is permitted).

Sequence in context: A349862 A006543 A133745 * A271341 A306109 A281513

Adjacent sequences: A337877 A337878 A337879 * A337881 A337882 A337883

Keyword

nonn,base,look

Author

Eric Angelini and Carole Dubois, Sep 28 2020

Status

approved