A recursive object (e.g. function or data structure) is defined using itself.

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Can a recurrence relation be translated to a composite function of itself?

Perhaps this is a question for stackoverflow because its practical nature, but I am not aware of any general method to relate recurrence relations and recursive functions. Having as an example this ...
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A Recursive Formula For Generalized Josephus problem

The Josephus Problem asks where to start taking out every kth person in the circle consisted of n people, such that you are the last "survivor". The following recursive formula is given: ...
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Towers of Hanoi but with arbitrary initial and final configuration

Recently, I came across this problem, a variation of towers of hanoi. It's an interesting one. The classic towers of hanoi problem has one source, destination and temporary tower that is used to move ...