A Notes on Matrix Sequence of Pentanacci Numbers and Pentanacci Cubes

B. Sivakumar; V. James

doi:10.26713/cma.v13i2.1725

Authors

B. Sivakumar Department of Mathematics, Rajalakshmi Engineering College (Anna University), Chennai 602105, India https://orcid.org/0000-0002-3612-6241 (unauthenticated)
V. James Department of Mathematics, Rajalakshmi Engineering College (Anna University), Chennai 602105, India https://orcid.org/0000-0002-8776-5529 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i2.1725

Keywords:

Fibonacci cube, Pentanacci cube, Pentanacci sequence, Hypercube, Matrix sequence

Abstract

Pentanacci sequence is a fifth order recurrence relation and Pentanacci cubes \(\Gamma_{n}^{(5)}\) are induced subgraphs of the hypercube, obtained by removing all the vertices that contain five or more consecutive 1's. In the present work, we give some properties related to matrix sequence of Pentanacci numbers and Pentanacci cubes \(\Gamma_{n}^{(5)}\). Also, we investigate the generating function of matrix sequence and cube polynomials of Pentanacci cubes.

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