A337866 Lexicographically earliest sequence of distinct positive integers such that a(n) + a(n+1) has at least one pair of identical adjacent digits.

1, 10, 12, 21, 23, 32, 34, 43, 45, 54, 46, 9, 2, 20, 13, 31, 24, 42, 35, 53, 47, 8, 3, 19, 14, 30, 25, 41, 36, 52, 48, 7, 4, 18, 15, 29, 26, 40, 37, 51, 49, 6, 5, 17, 16, 28, 27, 39, 38, 50, 60, 55, 11, 22, 33, 44, 56, 57, 58, 59, 63, 70, 74, 81, 85, 92, 96, 103, 97, 69, 64

Offset

1,2

Links

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

Example

a(1) + a(2) = 1 + 10 = 11 (a pair of 1's);
a(2) + a(3) = 10 + 12 = 22 (a pair of 2's);
a(3) + a(4) = 12 + 21 = 33 (a pair of 3's);
...
a(10) + a(11) = 54 + 46 = 100 (a pair of 0's); etc.

Crossrefs

Cf. A043096 (numbers in which every pair of adjacent digits are distinct).

Sequence in context: A265403 A215940 A368550 * A357045 A320170 A082927

Adjacent sequences: A337863 A337864 A337865 * A337867 A337868 A337869

Keyword

nonn,base

Author

Eric Angelini and Carole Dubois, Sep 27 2020

Status

approved