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math.CO2005★ 3 cited
On the Number of Distinct Multinomial Coefficients
George E. Andrews, Arnold Knopfmacher, Burkhard Zimmermann
We study M(n), the number of distinct values taken by multinomial coefficients with upper entry n, and some closely related sequences. We show that both pP(n)/M(n) and M(n)/p(n) te…
math.CO2005
On the degree of regularity of generalized van der Waerden triples
Nikos Frantzikinakis, Bruce Landman, Aaron Robertson
Let be integers. A triple of the form , where are positive integers is called an {\em (a,b)-triple}. The {\em degree of regularity} of the f…