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

Author

Eric Angelini and Carole Dubois, Feb 03 2020

Keywords

• base
• nonn

Examples

			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.
		

Links

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

Crossrefs

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