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Defining a sequence (Posted on 2018-10-31) Difficulty: 3 of 5
What binary sequence a1,a2,a3,...an,... can be defined by the equation: (an)XOR (3*an)=an+1?
Provide the proof of your formula.

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts re: one soln | Comment 2 of 3 |
(In reply to one soln by Steven Lord)

The process will multiply any number by 2, so the general formula would be a0 * 2^n. If a0 is 1/2 it gives the sequence 1, 2, 4, .... If a0 = 1 then it gives the sequence 2, 4, 8, ....  But a0 need not be a power of 2: if a0 = 3 you get 6, 12, 24, ....
  Posted by Charlie on 2018-10-31 10:20:18

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