A337865 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.

1, 2, 3, 4, 5, 6, 17, 28, 37, 7, 18, 38, 16, 27, 47, 8, 19, 29, 51, 62, 73, 82, 71, 102, 9, 31, 42, 53, 64, 74, 41, 52, 63, 83, 61, 72, 92, 91, 111, 101, 121, 131, 141, 151, 15, 26, 57, 13, 24, 35, 46, 55, 11, 22, 33, 44, 75, 65, 21, 32, 43, 54, 76, 56, 12, 23, 34, 45, 66

Offset

1,2

Comments

Terms ending in zero are not in the sequence; when reversed they produce a term with a leading zero.

Links

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

Example

a(7) = 17 and a(8) = 28; the addition 17 + 82 is a palindrome (99).
a(8) = 28 and a(9) = 37; the addition 28 + 73 is a palindrome (101). Etc.

Crossrefs

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

Sequence in context: A124365 A115896 A116018 * A297181 A294121 A048095

Adjacent sequences: A337862 A337863 A337864 * A337866 A337867 A337868

Keyword

nonn,base,look

Author

Eric Angelini and Carole Dubois, Sep 27 2020

Status

approved