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math.CO2019
An observation on the determinant of a Sylvester-Kac type matrix
Carlos M. da Fonseca, Emrah Kılıç
Based on a less-known result, we prove a recent conjecture concerning the determinant of a certain Sylvester-Kac type matrix and consider an extension of it.
math.CO2010★ 2 cited
Certain Binomial Sums with recursive coefficients
Emrah Kilic, Eugen J. Ionascu
In this short note, we establish some identities containing sums of binomials with coefficients satisfying third order linear recursive relations. As a result and in particular, we…