I don't know what your book exactly says. But I think wiki link is
enough to understand Josephus Problem.
http://en.wikipedia.org/wiki/Josephus_problem

On 3/5/11, Satyajit Bhadange <[email protected]> wrote:
> hi,
>
> I am studying Josephus problem
> the recurrence relation for same is
>
> J(1)      =   1;
> J(2n)     =   2J(n) - 1, for n >= 1
> j(2n + 1) =   2J(n) + 1, for n >= 1
>
> how J(2n) = 2J(n)
>
> on R.H.S side how 2 which is called k is derived..
>
> its is given in book that (concrete mathematics)
>
> J(2n) = newnumber(J(n)),
> where
> newnumber( k) =
> 2k-1.
>
>
> what is k..?
>
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