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First-Entry Deletion Recurrence for Up-Down Permutations Refined by Last Entry and Record Positions
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October 01, 2026 19:21
First-Entry Deletion Recurrence for Up-Down Permutations Refined by Last Entry and Record Positions
Up-down counts with fixed first entry and record set equal summed down-up counts one size smaller. For $n \ge 2$, $a \in [n]$, $b \in [n]$ with $b \ne a$, …
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