On the number of distinct multinomial co
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George E. Andrews; Arnold Knopfmacher; Burkhard Zimmermann
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Article
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2006
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Elsevier Science
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English
⚖ 147 KB
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 p P (n)/M(n) and M(n)/p(n) tend to zero as n goes to infinity, where p P (n) is the number of partitions of n into primes and p(n) is the total num