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Your search keyword '"Integer sequence"' showing total 1 results
Start Over Descriptor "Integer sequence" Topic integers Publication Year Range Last 10 years Journal annals of combinatorics

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1 results on '"Integer sequence"'

1. On the number of principal ideals in d-tonal partition monoids.

Author

Ahmed, Chwas, Martin, Paul, and Mazorchuk, Volodymyr

Subjects
*NUMBER theory, *COMBINATORICS, *MONOIDS, *INTEGERS
Abstract

For a positive integer d, a non-negative integer n and a non-negative integer h ≤ n , we study the number C n (d) of principal ideals; and the number C n , h (d) of principal ideals generated by an element of rank h, in the d-tonal partition monoid on n elements. We compute closed forms for the first family, as partial cumulative sums of known sequences. The second gives an infinite family of new integral sequences. We discuss their connections to certain integral lattices as well as to combinatorics of partitions. [ABSTRACT FROM AUTHOR]

Published
2021
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