A333568 Lexicographically earliest sequence of nonnegative integers such that two distinct terms differ by at least 3 decimal digits.

0, 111, 222, 333, 444, 555, 666, 777, 888, 999, 1012, 1103, 1230, 1321, 1456, 1547, 1674, 1765, 2023, 2132, 2201, 2310, 2467, 2576, 2645, 2754, 3031, 3120, 3213, 3302, 3475, 3564, 3657, 3746, 4048, 4159, 4284, 4395, 4806, 4917, 5069, 5178, 5296, 5387, 5814

Offset: 0

Author

Rémy Sigrist, Jun 09 2020

Keywords

• nonn
• base

Comments

This is the distance 3 lexicode over the decimal alphabet. - N. J. A. Sloane, Jul 20 2021

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..9999
• J. H. Conway, Integral lexicographic codes, Discrete Mathematics 83.2-3 (1990): 219-235. See paragraph 3.
• J. H. Conway and N. J. A. Sloane, Lexicographic codes: error-correcting codes from game theory, IEEE Transactions on Information Theory, 32:337-348, 1986.
• Rémy Sigrist, C program for A333568

Crossrefs

Cf. A075926 (binary equivalent)

Programs

C

See Links section.