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Number of open tours by a biased rook on a specific $f(n)\times 1$ board which end on a $k$-th cell from the right
We have a simple structure - biased rook of the two types.
Biased rook of the first kind which make open tours on a specific $f(n)\times 1$ board where $f(n) = \left\lfloor\log_2{2n}\right\rfloor + 1$ ...
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