Relation between matrices and the suborbital graphs by the special number sequences

Some Matrix Applications on the Special Integer Number Sequences

“…Theorem 2.5 [8] Let 𝐹 𝑛 and 𝐿 𝑛 be the 𝑛 𝑡ℎ Fibonacci number and the 𝑛 𝑡ℎ Lucas number, respectively. So, we have the following matrix equation as…”

“…The authors have investigated applications of Fibonacci, Lucas, Pell and Pell-Lucas sequences by using matrices in [1][2][3][4]. The authors examine the relation between the suborbital graphs and Fibonacci numbers [5,6]. Then, the author finds new matrices and identities related to Fibonacci and Lucas numbers [7].…”

“…Then, the author finds new matrices and identities related to Fibonacci and Lucas numbers [7]. The relation between Pell and Pell-Lucas numbers and the suborbital graphs has been investigated in [8]. As a result, the authors produce new matrices related to these integer sequences.…”

Solutions to Pell's Equation via Suborbital Graphs

“…Recently some new studies are directly related to well known number sequences such as Fibonacci numbers, Lucas numbers, Pascal numbers, e.t.c. [13,11]. In the study [11], it is given some relationships about the Pascal and Fibonacci numbers.…”