Geodesic
On the determinants of pentadiagonal matrices with the classical Fibonacci, generalized Fibonacci and Lucas numbers
Eurasian mathematical journal, Tome 2 (2011) no. 2, pp. 60-74

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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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     author = {A. \.Ipek},
     title = {On the determinants of pentadiagonal matrices with the classical {Fibonacci,} generalized {Fibonacci} and {Lucas} numbers},
     journal = {Eurasian mathematical journal},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2011_2_2_a2/}
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A. İpek. On the determinants of pentadiagonal matrices with the classical Fibonacci, generalized Fibonacci and Lucas numbers. Eurasian mathematical journal, Tome 2 (2011) no. 2, pp. 60-74. http://geodesic.mathdoc.fr/item/EMJ_2011_2_2_a2/