A331989 Lexicographically earliest sequence of distinct positive integers such that five successive digits are always distinct.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 23, 41, 50, 24, 13, 52, 40, 15, 26, 30, 12, 43, 51, 20, 34, 16, 25, 31, 42, 53, 14, 27, 35, 18, 29, 36, 17, 28, 39, 45, 21, 37, 46, 19, 32, 47, 56, 38, 49, 57, 60, 48, 59, 61, 70, 54, 62, 71, 58, 63, 72, 80, 64, 73, 81, 65, 74, 82, 67, 90, 83, 69, 75, 84, 91, 68, 79, 102, 76, 85

Offset

1,2

Links

Carole Dubois, Table of n, a(n) for n = 1..5000

Example

The 5 digits 1, 0, 2, 3, 4 of a(10), a(11) and the 1st digit of a(12) are distinct;
the 5 digits 0, 2, 3, 4, 1 of the 2nd digit of a(10), a(11) and a(12) are distinct;
the 5 digits 2, 3, 4, 1, 5 of a(11), a(12) and the 1st digit of a(13) are distinct;
the 5 digits 3, 4, 1, 5, 0 of the 2nd digit of a(11), a(12) and a(13) are distinct;
the 5 digits 4, 1, 5, 0, 2 of a(12), a(13) and the 1st digit of a(14) are distinct, etc.

Crossrefs

Cf. A331975 (a variant with 3 successive distinct digits), A331215 (a variant with 4 successive distinct digits).

Sequence in context: A331215 A039229 A054659 * A120125 A345227 A333832

Adjacent sequences: A331986 A331987 A331988 * A331990 A331991 A331992

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 03 2020

Status

approved