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 Basic Concepts (Posted on 2004-01-28)
The following two related sequences are determined in only slightly different ways:
1. ```1
11
100
121
221
1100
1211
2101
```
2. ```1
10
21
100
121
210
301
1000
```
What the next few terms of each, and how are they determined?

 Submitted by DJ Rating: 3.7778 (9 votes) Solution: (Hide) Both are the sequence of perfect squares. The first is written in ternary (base 3); the second, in a quaternary (base 4) numbering system. ```Decimal Ternary Quaternary 1 1 1 4 11 10 9 100 21 16 121 100 25 221 121 36 1100 210 49 1211 301 64 2101 1000 81 10000 1101 100 10201 1210 121 11111 1321 144 12100 2100 ``` So, the next few terms of the first sequence are: 10000, 10201, 11111, 12100. The next few terms of the second sequence are: 1101, 1210, 1321, 2100.

 Subject Author Date Solution Dej Mar 2007-10-29 00:44:54 No Subject matzerath 2004-07-08 13:46:39 Sequence Larry 2004-01-28 20:09:48 SOLUTION Ady TZIDON 2004-01-28 11:02:03 Solution Penny 2004-01-28 10:05:29 Solution retiarius 2004-01-28 08:41:32

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