31 citations · 41 across the 11 of their papers we have counts for
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A note on Modified Third-order Jacobsthal numbers
Gamaliel Cerda-Morales
Modified third-order Jacobsthal sequence is defined in this study. Some properties involving this sequence, including the Binet-style formula and the generating function are also p…
New Identities for Padovan Numbers
Gamaliel Cerda-Morales
In \cite{Choi-Jo}, the () subscripted Tribonacci numbers are studied. This work is devoted to study a new generalization of Fibonacci numbers called Padovan numbe…
Oresme Polynomials and Their Derivatives
Gamaliel Cerda-Morales
We study the problem of generalization of Oresme numbers with a new sequence of numbers called Oresme polynomials. Moreover, by using the matrix methods for Oresme polynomials, we…
Special Matrices Associated with Generalized Fibonacci Numbers
Gamaliel Cerda-Morales
In \cite{Ka}, the authors obtained a method for deriving special matrices, whose powers are related to Fibonacci and Lucas numbers. In the study, it has been developed a method for…
On the third-order Horadam matrix sequences
Gamaliel Cerda-Morales
In this paper, we first give new generalizations for third-order Horadam and generalized Tribonacci sequence…
The Gelin-Cesàro identity in some third-order Jacobsthal sequences
Gamaliel Cerda-Morales
In this paper, we deal with two families of third-order Jacobsthal sequences. The first family consists of generalizations of the Jacobsthal sequence. We show that the Gelin-Cesàro…