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math.CO2023
Hessenberg-Toeplitz Matrix Determinants with Schroder and Fine Number Entries
Taras Goy, Mark Shattuck
In this paper, we find determinant formulas of several Hessenberg-Toeplitz matrices whose nonzero entries are derived from the small and large Schroder and Fine number sequences. A…
math.CO2023
Enumeration of non-crossing partitions according to subwords with repeated letters
Mark Shattuck
An avoidance pattern where the letters within an occurrence of which are required to be adjacent is referred to as a subword. In this paper, we enumerate members of the set NC_n of…