On the determinants of pentadiagonal matrices with the classical Fibonacci, generalized Fibonacci and Lucas numbers

A. İpek

Eurasian mathematical journal, Tome 2 (2011) no. 2, pp. 60-74.

Résumé

In this paper, we compute the determinants of several pentadiagonal matrices with the generalized Fibonacci, generalized Lucas numbers and the determinant of a pentadiagonal matrix with the classical Fibonacci numbers, and then we show how the classical Fibonacci numbers arise as determinants of some pentadiagonal matrices.

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