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):
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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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