H. Wilf

activity

19982009

most citedComputing the distribution of the maximum in balls-and-boxes problems, with application to clusters of disease cases

12 citations · 38 across the 15 of their papers we have counts for

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Showing 2009 · math.COShow all

2 papers · 2 filters

math.CO2009★ 2 cited

The distribution of longest run lengths in integer compositions

Herbert S. Wilf

We find the generating function for $C (n, k, r)$ , the number of compositions of $n$ into $k$ positive parts all of whose runs (contiguous blocks of constant parts) have lengths less…

math.CO2009

Counting nondecreasing integer sequences that lie below a barrier

Robin Pemantle, Herbert S. Wilf

Given a barrier $0 \leq b_{0} \leq b_{1} \leq ...$ , let $f (n)$ be the number of nondecreasing integer sequences $0 \leq a_{0} \leq a_{1} \leq ... \leq a_{n}$ for which $a_{j} \leq b_{j}$ for all…