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math.CO2021
Anti-palindromic compositions
George E. Andrews, Matthew Just, Greg Simay
A palindromic composition of is a composition of which can be read the same way forwards and backwards. In this paper we define an anti-palindromic composition of to be…
math.CO2021
Compositions that are palindromic modulo
Matthew Just
In recent work, G. E. Andrews and G. Simay prove a surprising relation involving parity palindromic compositions, and ask whether a combinatorial proof can be found. We extend thei…
math.CO2021
On a divisor of the central binomial coefficient
Matthew Just, Maxwell Schneider
It is well known that for all the number is a divisor of the central binomial coefficient . Since the th central binomial coefficient equals the n…