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math.GM2023★ 1 cited
A Polynomial Ring Connecting Central Binomial Coefficients and Gould's Sequence
Joseph M. Shunia
We establish a novel connection between the central binomial coefficients and Gould's sequence through the construction of a specialized multivariate polynomial quo…
math.GM2023
Arithmetic Terms for Multinomial Coefficient Sums
Joseph M. Shunia, Lorenzo Sauras-Altuzarra
We construct arithmetic terms representing the partial sums of binomial coefficients, and we extend these results to obtain arithmetic terms representing the multisections of binom…