In this paper, we introduce the generalized hyperbolic Jacobsthal numbers. As special
cases, we deal with hyperbolic Jacobsthal and hyperbolic Jacobsthal-Lucas numbers. We …

In this paper, closed forms of the summation formulas∑ nk= 0 xkWmk+ j for generalized
Fibonacci numbers are presented. As special cases, we give summation formulas of …

In this paper, we introduce a new family of the generalized $ k $-Leonardo numbers and
study their properties. We investigate the Gaussian Leonardo numbers and associated new …

In this paper, we define and investigate the generalized Ernst sequences and we deal with,
in detail, two special cases, namely, Ernst and Ernst-Lucas sequences. We present Binet's …

In this work, we investigate the hyperbolic k-Jacobsthal and k-Jacobsthal–Lucas octonions.
We give Binet's Formula, Cassini's identity, Catalan's identity, d'Ocagne identity, generating …

In this paper, we investigate the generalized third order Jacobsthal sequences and we deal
with, in detail, four special cases, namely, third order Jacobsthal, third order Jacobsthal …

In this paper, we introduce the generalized 2-primes sequences and we deal with, in detail,
three special cases which we call them 2-primes, Lucas 2-primes and modified 2-primes …

We present a new family of Gauss (k, t)-Horadam numbers and obtain Binet formula of this
family. We give the relationship between this family and the known Gauss t-Horadam …

In this paper, closed forms of the sum formulas∑ nk= 0 xkWmk 2+ j for generalized
Fibonacci numbers are presented. As special cases, we give sum formulas of Fibonacci …

In this paper, we investigate the generalized fourth order Jacobsthal sequences and we deal
with, in detail, six special cases which we call them as fourth order Jacobsthal, fourth order …