On the \(m\)-ary partition numbers

Yasuyuki Kachi, Pavlos Tzermias

Abstract


We give explicit formulas and recurrences for the \(m\)-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) partition numbers.


Keywords


\(m\)-ary partition numbers, generating functions,Toeplitz-Hessenberg determinants

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