A Note on Modified $k$-Pell Hybrid Numbers

Year 2020, Volume: 8 Issue: 2, 229 - 233, 27.10.2020

Paula Maria Machado Cruz Catarino , Göksal Bilgici

Abstract

Modified $k$-Pell hybrid sequence is defined in this paper. The Binet formula and the generating functions for modified k-Pell hybrid numbers are also presented. By using the Binet formula, some properties involving this sequence, including Catalan's, Cassini's and d'Ocagne's identities, are obtained.                                                                                                                                                                                                                                                                                                                                                                                          

Keywords

Modified $k$-Pell numbers, Hybrid numbers, Recurrence relations, Generating functions, Binet's formula

Supporting Institution

Portuguese Funds through FCT

Project Number

UIDB/00013/2020

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