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: ( You must be logged in to post comments.)

Subject	Author	Date
Answer	K Sengupta	2008-11-11 01:29:40
re(2): solution - no computer, error (??)	pcbouhid	2008-05-14 21:33:15
re: solution - no computer, error	Bon	2006-07-23 16:21:16
re(2): solution - no computer - to Bob	pcbouhid	2005-11-15 14:43:42
re(2): solution - no computer - correction	pcbouhid	2005-11-15 14:41:25
re: solution - no computer	Charlie	2005-11-15 14:25:49
re: solution - no computer	Bob Smith	2005-11-15 14:15:57
solution - no computer	pcbouhid	2005-11-15 14:05:50
Solution--computer used thrice...	Charlie	2005-11-15 11:46:21

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