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

1,2

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10011

Rémy Sigrist, Perl program for A072484

Formula

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

Example

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

Prog

(Perl) See Links section.

Crossrefs

Cf. A072483, A072485, A293869, A337918.

Sequence in context: A082827 A290100 A302389 * A337918 A113698 A048794

Adjacent sequences: A072481 A072482 A072483 * A072485 A072486 A072487

Keyword

base,nonn,tabl

Author

Amarnath Murthy, Jul 07 2002

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

Status

approved