Abstract
In this paper, we investigate the generalized third order Pell sequences and we deal with, in detail, three special cases which we call them third order Pell, third order Pell-Lucas and modified third order Pell sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.
Publisher
Sciencedomain International
Cited by
4 articles.
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1. On Third Order Bronze Fibonacci Quaternions;Turkish Journal of Mathematics and Computer Science;2022-09-14
2. On Third-Order Bronze Fibonacci Numbers;Mathematics;2021-10-16
3. De Moivre-Type Identities for the Pell Numbers;Turkish Journal of Mathematics and Computer Science;2021-03-23
4. On the Recurrence Properties of Generalized Tribonacci Sequence;Earthline Journal of Mathematical Sciences;2021-03-17