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

0,2

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

Prog

(C) See Links section.

Crossrefs

Cf. A075926 (binary equivalent)

Sequence in context: A084043 A291266 A033284 * A123673 A177769 A074842

Adjacent sequences: A333565 A333566 A333567 * A333569 A333570 A333571

Keyword

nonn,base

Author

Rémy Sigrist, Jun 09 2020

Status

approved