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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.

8 votes
Accepted

The number of ways to merge a permutation with itself

By @Max Alexeyev's solution above $N_{2k-1}^{\sigma}=tr(M_{k}(P_{\sigma}M_{k}P_{\sigma}^{-1}))$. The eigenvalues and eigenvectors of $M_k$ are given here: Result attribution for eigenvalues of a matri …
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