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)

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re(2): solution - no computer - correction

| Comment 5 of 9 |

(In reply to re: solution - no computer by Charlie)

Correcting my mistake at the final.

f(1,000,000,000,000) = [1,000,000,000,001 * 0,618.033.988.749.894...] = [618,033,988,750.512] = 618,033,988,750.

Edited on November 15, 2005, 2:46 pm

Posted by pcbouhid on 2005-11-15 14:41:25

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