Generalized Pell-Padovan Numbers
Asian Journal of Advanced Research and Reports · pp. 8–28 · Published 20 Jun 2020
10.9734/ajarr/2020/v11i230259Abstract
In this paper, we investigate the generalized Pell-Padovan sequences and we deal with, in detail, four special cases, namely, Pell-Padovan, Pell-Perrin, third order Fibonacci-Pell and third order Lucas-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.
Cited by 11
Yüksel Soykan · Earthline Journal of Mathematical Sciences · 2021
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