There are many known connections between determinants of tridiagonal matrices and the Fibonacci and Lucas numbers.
Department, Program, or Center
School of Mathematical Sciences (COS)
N.D. Cahill and D.A. Narayan. "Fibonacci and Lucas Numbers as Tridiagonal Matrix Determinants" The Fibonacci Quarterly 42.3 (2004): 216-221.
RIT – Main Campus
This is a pre-print of an article published by The Fibonacci Association. The final, published version is located here: https://www.fq.math.ca/Papers1/42-3/quartcahill03_2004.pdf
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