Just a little teaser. I'll come on to the rationale behind it when I give (or someone else gives) the answer.
What's the significance of the sequence of 100 numbers below?
0
1
10
2
100
11
1,000
3
20
101
10,000
12
100,000
1,001
110
4
1,000,000
21
10,000,000
102
1,010
10,001
100,000,000
13
200
100,001
30
1,002
1,000,000,000
111
10,000,000,000
5
10,010
1,000,001
1,100
22
100,000,000,000
10,000,001
100,010
103
1,000,000,000,000
1,011
10,000,000,000,000
10,002
120
100,000,001
100,000,000,000,000
14
2,000
201
1,000,010
100,002
1,000,000,000,000,000
31
10,100
1,003
10,000,010
1,000,000,001
10,000,000,000,000,000
112
100,000,000,000,000,000
10,000,000,001
1,020
6
100,100
10,011
1,000,000,000,000,000,000
1,000,002
100,000,010
1,101
10,000,000,000,000,000,000
23
100,000,000,000,000,000,000
100,000,000,001
210
10,000,002
11,000
100,011
1,000,000,000,000,000,000,000
104
40
1,000,000,000,001
10,000,000,000,000,000,000,000
1,012
1,000,100
10,000,000,000,001
1,000,000,010
10,003
100,000,000,000,000,000,000,000
121
101,000
100,000,002
10,000,000,010
100,000,000,000,001
10,000,100
15
1,000,000,000,000,000,000,000,000
2,001
10,020
202
