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

1,2

Links

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

Example

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.

Crossrefs

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

Sequence in context: A018266 A344826 A128945 * A048569 A033085 A332320

Adjacent sequences: A318530 A318531 A318532 * A318534 A318535 A318536

Keyword

nonn,base,look

Author

Eric Angelini and Jean-Marc Falcoz, Aug 28 2018

Status

approved