perplexus.info :: Calculus : Strange sequence

Strange sequence (Posted on 2005-11-15)

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, error (??)

| Comment 8 of 9 |

f(3) = 2.

f(4) = 4 - f(3) = 4 - 2 = 2

Then, the rest is right.

Posted by pcbouhid on 2008-05-14 21:33:15

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