Right circulant determinant sequences with Jacobsthal and Jacobsthal–Lucas numbers

Aldous Cesar F. Bueno
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 22, 2016, Number 4, Pages 56–61
Full paper (PDF, 161 Kb)

Details

Authors and affiliations

Aldous Cesar F. Bueno
Philippine Science High School, Central Luzon Campus
Lily Hill, Clark Freeport Zone, Pampanga, Philippines

Abstract

We study two right circulant determinant sequences. The first sequence makes use of Jacobsthal numbers of the form J_s+t while the other makes use of Jacobsthal–Lucas numbers of the form K_s+t, where s, t ∈ ℤ and s ≠ t. We also give some open problems.

Keywords

• Determinants sequence
• Jacobsthal numbers
• Jacobsthal–Lucas numbers

AMS Classification

• 15B05

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