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

1,2

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) = 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.

Crossrefs

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

Sequence in context: A236689 A308719 A026266 * A075163 A333905 A143693

Adjacent sequences: A334386 A334387 A334388 * A334390 A334391 A334392

Keyword

nonn,base,look

Author

Eric Angelini and Carole Dubois, Sep 28 2020

Status

approved