A102167 Lightest finite strictly increasing sequence of integers showing once and only once every pair of digits from [00] to [99]. The "weight" of such a sequence is the sum of all its a(n). Weight of this sequence is 2995.

7, 19, 20, 23, 24, 25, 26, 27, 28, 29, 30, 34, 35, 36, 37, 38, 39, 40, 45, 46, 47, 48, 49, 50, 56, 57, 58, 59, 60, 67, 68, 69, 70, 78, 79, 80, 88, 90, 99, 100, 118, 122, 133, 144, 155, 166, 177

Offset: 1

Author

Geoff Bailey, Richard Tucker, "Alex" and Eric Angelini, Feb 16 2005; revised Mar 15 2005

Keywords

• base
• easy
• nonn
• fini
• full

Comments

It seems that it is only a conjecture that this sequence is really the lightest! - N. J. A. Sloane, Mar 15 2005

Examples

			Sequence starts with 7 19 20 23... showing pairs [71], [19], [92], [20], [02], [23]...