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Strange sequence (Posted on 2005-11-15) Difficulty: 4 of 5
If f(0)=0 and for n>0, f(n)=n-f(f(n-1)),
what is f(1,000,000,000,000)?

Computer solutions welcome,
though a proof would be better!

See The Solution Submitted by e.g.    
Rating: 3.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Answer Comment 9 of 9 |
The required value of f(10^12) is: 618,033,988,750
  Posted by K Sengupta on 2008-11-11 01:29:40
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