A072484 Triangle in which the n-th row contains the n smallest numbers containing the string of digits of n in increasing order.

1, 2, 12, 3, 13, 23, 4, 14, 24, 34, 5, 15, 25, 35, 45, 6, 16, 26, 36, 46, 56, 7, 17, 27, 37, 47, 57, 67, 8, 18, 28, 38, 48, 58, 68, 78, 9, 19, 29, 39, 49, 59, 69, 79, 89, 10, 100, 101, 102, 103, 104, 105, 106, 107, 108, 11, 110, 111, 112, 113, 114, 115, 116, 117, 118

Offset: 1

Author

Amarnath Murthy, Jul 07 2002

Keywords

• base
• nonn
• tabl

Examples

			The triangle begins
1
2 12
3 13 23
4 14 24 34
.....
The 13th row is 13,113,130,131,132,133,134,135,136,137,138,139,213
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10011
• Rémy Sigrist, Perl program for A072484

Crossrefs

Cf. A072483, A072485, A293869, A337918.

Programs

Perl

See Links section.

Formula

T(n, k) = A293869(n, k) for any n > 0 and k = 1..n. - Rémy Sigrist, Jan 29 2021

Extensions

Edited by T. D. Noe, Apr 23 2009

Example corrected by Robert Israel, Sep 25 2019

Offset changed to 1 by Rémy Sigrist, Jan 29 2021