Counting permutations by their alternating runs
نویسندگان
چکیده
We find a formula for the number of permutations of [n] that have exactly s runs up and down. The formula is at once terminating, asymptotic, and exact. The asymptotic series is valid for n→∞, uniformly for s (1 − )n/ logn ( > 0). © 2007 Elsevier Inc. All rights reserved.
منابع مشابه
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 115 شماره
صفحات -
تاریخ انتشار 2008