Density and Symmetry in the Generalized Motzkin Numbers mod p

2024/11/06 by Kohen, Nadav
#05A15 #11B05 #11B50 (Primary) 68R15 #11B85 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2411.03681

Abstract

We give a formula for the density of 0 in the sequence of generalized Motzkin numbers, M^{a, b}_n, modulo a prime, p, in terms of the first p generalized central trinomial coefficients T^{a, b}_n\bmod p (with n

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