Padovan-like sequences and Bell polynomials

N. Gogin and A. Mylläri

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 125, issue C, 168-177

Abstract: We study a class of Padovan-like sequences that can be generated using special matrices of the third order. We show that terms of any sequence of this class can be expressed via Bell polynomials and their derivatives using as arguments terms of another such sequence with smaller indices. Computer algebra system (CAS) Mathematica was used for cumbersome calculations and hypothesis-testing.

Keywords: Integer sequences; Padovan sequence; Fibonacci sequence; Partial Bell polynomials; Padovan polynomials (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:125:y:2016:i:c:p:168-177

DOI: 10.1016/j.matcom.2015.08.008

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