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A308719

Lexicographically earliest sequence of distinct terms such that the digits of two contiguous terms sum up to a palindrome.

1, 2, 3, 4, 5, 6, 10, 7, 11, 9, 20, 12, 8, 21, 13, 14, 15, 23, 22, 16, 31, 25, 40, 30, 17, 59, 26, 68, 35, 77, 44, 86, 53, 95, 62, 100, 19, 39, 28, 48, 37, 57, 46, 66, 55, 75, 64, 84, 73, 93, 82, 129, 91, 138, 109, 147, 118, 156, 127, 165, 136, 174, 145, 183, 154, 192, 163, 219, 172, 228, 181, 237, 190

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OFFSET

1,2

COMMENTS

This sequence is not a permutation of the integers > 0 as integers with digitsum 11, or 22, or 33, for instance, will not show.

LINKS

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

EXAMPLE

The sequence starts with 1,2,3,4,5,6,10,7,11,9,... and we see indeed that the digits of:

{a(1); a(2)} have sum 1 + 2 = 3 (palindrome);

{a(2); a(3)} have sum 2 + 3 = 5 (palindrome);

{a(3); a(4)} have sum 3 + 4 = 7 (palindrome);