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For all you math puzzle nuts...
I came across this problem while doing my Calc hw today. Took me awhile to get it, I thought it was a pretty neat problem.
Find a formula for the nth term of this sequence. 0, 1, 1, 2, 2, 3, 3, 4, ... (each positive integer repeated). The whole time I was doing this I was thinking about how much easier it would be to just write a C code for it, damn calculus and it's lack of ability to round down to the nearest factor of 2. Enjoy. Edit - fixed sequence typo, and edited to add no using mod or anything such as that. Only standard math terms, ie. + , - , x , divide, and powers. Edited again to say that you can only use one function that will apply to your whole sequence, no dividing odds and evens between two seperate functions. |
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