Shi-Mei Ma

activity

20062026

most citedEnumeration of a dual set of Stirling permutations by their alternating runs

9 citations · 49 across the 59 of their papers we have counts for

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Showing 2011Show all

3 papers · 1 filter

math.CO2011

An explicit formula for the number of permutations with a given number of alternating runs

Shi-Mei Ma

Let $R (n, k)$ denote the number of permutations of $1, 2, ..., n$ with $k$ alternating runs. In this note we present an explicit formula for the numbers $R (n, k)$ .

math.CO2011

Enumeration of permutations by number of alternating runs

Shi-Mei Ma

Let R(n,k) denote the number of permutations of {1,2,...,n} with k alternating runs. We find a grammatical description of the numbers R(n,k) and then present several convolution fo…

math.CO2011

Derivative polynomials and permutations by numbers of interior peaks and left peaks

Shi-Mei Ma

Derivative polynomials in two variables are defined by repeated differentiation of the tangent and secant functions. We establish the connections between the coefficients of these…