ARTICLE | doi:10.20944/preprints202110.0101.v1
Subject: Mathematics & Computer Science, Algebra & Number Theory Keywords: Padavon numbers; Perrin numbers; Padovan-Perrin numbers
Online: 6 October 2021 (10:35:34 CEST)
In this paper, we investigate the generalized Padovan sequences and we deal with, in detail, four special cases, namely, Padovan, Perrin, Padovan-Perrin and modified Padovan 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.