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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.)
re(2): solution - no computer - to Bob | Comment 6 of 9 |
(In reply to re: solution - no computer by Bob Smith)

Bob, I really donīt know. If I was in a test, I would answered the solution I posted, but, at home, I would use the computer to check!!

Charlie did it for us.

Itīs a coincidence? Again, I donīt know.


  Posted by pcbouhid on 2005-11-15 14:43:42
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