On Generalized Third-Order Pell Numbers
Asian Journal of Advanced Research and Reports · pp. 1–18 · Published 25 Sep 2019
10.9734/ajarr/2019/v6i130144Abstract
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.
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