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math.CO2019
Binary compositions and semi-Pell compositions
William J. Keith, Augustine O. Munagi
In analogy with the semi-Fibonacci partitions studied recently by Andrews, we define semi-Pell compositions and semi--Pell compositions. We find that these are in bijection with…
math.CO2019
Partitions into parts simultaneously regular, distinct, and/or flat
William J. Keith
We explore partitions that lie in the intersection of several sets of classical interest: partitions with parts indivisible by , appearing fewer than times, or differing by…