A333832 Lexicographically earliest array of distinct positive integers read row by row; a single row consists of integers using together exactly 10 distinct digits.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 23, 45, 67, 89, 12, 30, 46, 57, 98, 13, 20, 47, 58, 69, 14, 25, 36, 78, 90, 15, 24, 37, 80, 96, 16, 27, 34, 5089, 17, 26, 35, 4089, 18, 29, 40, 53, 76, 19, 28, 43, 56, 70, 21, 38, 49, 60, 75, 31, 42, 50, 68, 79, 32, 41, 59, 6078, 39, 48, 51, 2067, 52, 61, 73, 4098, 54, 62, 71, 3089

Offset: 1

Author

Eric Angelini and Luca Petrone, Apr 07 2020

Keywords

• base
• nonn
• fini
• tabf
• look

Comments

The array is finite, by definition: its final row consists of the single integer 9876543210. This sequence starts like A120125 but diverges after a(23) = 47, though the same idea is developped.

Examples

			The first eight rows of the array (and the last one) are:
0 1 2 3 4 5 6 7 8 9
10 23 45 67 89
12 30 46 57 98
13 20 47 58 69
14 25 36 78 90
15 24 37 80 96
16 27 34 5089
17 26 35 4089
...
9876543210
		

Links

• Luca Petrone, Table of n, a(n) for n = 1..33749

Crossrefs

Cf. A120125 (Smallest positive integer not already in the sequence such that digits used are balanced: no digit appears more than 1 times more than any other).

Cf. A050278.