43 citations · 152 across the 27 of their papers we have counts for
27 papers
There's plenty of time for evolution
Herbert S. Wilf, Warren J. Ewens
Objections to Darwinian evolution are often based on the time required to carry out the necessary mutations. Seemingly, exponential numbers of mutations are needed. We show that su…
How to lose as little as possible
Vittorio Addona, Stan Wagon, Herb Wilf
Suppose Alice has a coin with heads probability and Bob has one with heads probability . Now each of them will toss their coin times, and Alice will win iff she gets m…
The distribution of longest run lengths in integer compositions
Herbert S. Wilf
We find the generating function for , the number of compositions of into positive parts all of whose runs (contiguous blocks of constant parts) have lengths less…
Counting nondecreasing integer sequences that lie below a barrier
Robin Pemantle, Herbert S. Wilf
Given a barrier , let be the number of nondecreasing integer sequences for which for all…
On a conjecture of Ira Gessel
Marko Petkovsek, Herbert S. Wilf
Let F(m; n1, n2) denote the number of lattice walks from (0,0) to (n1,n2), always staying in the first quadrant {(n_1,n_2); n1 >= 0, n2 >= 0} and having exactly m steps, each of wh…
Left-to-right maxima in words and multiset permutations
Amy Myers, Herb Wilf
We extend classical theorems of Renyi by finding the distributions of the numbers of both weak and strong left-to-right maxima (a.k.a. outstanding elements) in words over a given a…