There is a formula in wikipedia for the general case of josepus problem
But there is no reference for it, I don't know where it came from and I need too find out... Maybe Donald Knuth's Art of Programming?
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2$\begingroup$ I believe it comes from "Concrete Mathematics" $\endgroup$ – vonbrand Jan 23 '13 at 19:40
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In "Concrete Mathematics" by Graham, Knuth, Patashnik. Look in Chapter 3: Integer functions.
