## Circulants and the factorization of the Fibonacci-like numbers.(English)Zbl 1132.11009

Using circulant matrices, their determinants and eigenvalues the authors give factorizations of the Fibonacci-like numbers $$U_n$$ and their squares $$U^2_n$$. $$U_n$$ is defined by $$U_n= pU_{n-1}+ qU_{n-2}$$, $$n\geq 2$$, $$U_0= 0$$, $$U_1= 1$$ and arbitrary integers $$p$$, $$q$$.

### MSC:

 11B39 Fibonacci and Lucas numbers and polynomials and generalizations

### Keywords:

Fibonacci-like numbers; factorization
Full Text:

### References:

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