SOLUTION: 0,1,3,2,4,5,7,6,12 find next find num in the seq

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Question 1021680: 0,1,3,2,4,5,7,6,12 find next find num in the seq
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Rule.

Start counting with 0.

1. Change to base 4, 
2. Change 2s to 3s and 3s to 2s
3. Change to base ten

0
1. Change 0 to base 4.  That's 04. 
2. Change 2s to 3s and 3s to 2s.  There are none. Still have 04.
3. Change to base ten.  That's 0.

1
1. Change 1 to base 4.  That's 14. 
2. Change 2s to 3s and 3s to 2s.  There are none. Still have 14
3. Change to base ten.  That's 1.

2
1. Change 2 to base 4.  That's 24. 
2. Change 2s to 3s and 3s to 2s.  Change 24 to 34. 
3. Change to base ten.  That's 3.

3
1. Change 3 to base 4.  That's 34. 
2. Change 2s to 3s and 3s to 2s.  Change 34 to 24
3. Change to base ten.  That's 2

4
1. Change 4 to base 4.  That's 104. 
2. Change 2s to 3s and 3s to 2s.  There are none. Still have 104
3. Change to base ten.  That's 4

5
1. Change 5 to base 4.  That's 114. 
2. Change 2s to 3s and 3s to 2s.  There are none. Still have 114
3. Change to base ten.  That's 5

6
1. Change 6 to base 4.  That's 124. 
2. Change 2s to 3s and 3s to 2s.  Change 124 to 134
3. Change to base ten.  That's 7

7
1. Change 7 to base 4.  That's 134. 
2. Change 2s to 3s and 3s to 2s.  Change 134 to 124
3. Change to base ten.  That's 6

8
1. Change 8 to base 4.  That's 204. 
2. Change 2s to 3s and 3s to 2s.  Change 204 to 304.
3. Change to base ten.  That's 12.

9
1. Change 9 to base 4.  That's 214. 
2. Change 2s to 3s and 3s to 2s.  Change 214 to 314.
3. Change to base ten.  That's 13.


1,3,2,4,5,7,6,12,13

Edwin

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