On determinants of tridiagonal matrices with (−1, 1)-diagonal or superdiagonal in relation to Fibonacci numbers
نویسنده
چکیده
The aim of the paper is to find some new determinants connected with Fibonacci numbers. We generalize the result provided in Strang’s book because we derive that two sequences of similar tridiagonal matrices are connected with Fibonacci numbers. AMS subject classification: Primary 15A15, 11B39; Secondary 11B37, 11B83.
منابع مشابه
On Factorization of the Fibonacci and Lucas Numbers Using Tridiagonal Determinants
The aim of this paper is to give new results about factorizations of the Fibonacci numbers Fn and the Lucas numbers Ln. These numbers are defined by the second order recurrence relation an+2 = an+1+an with the initial terms F0 = 0, F1 = 1 and L0 = 2, L1 = 1, respectively. Proofs of theorems are done with the help of connections between determinants of tridiagonal matrices and the Fibonacci and ...
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