Geodesic
Generating matrices for weighted sums of second order linear recurrences
Journal of integer sequences, Tome 12 (2009) no. 2.

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Summary: In this paper, we give fourth order recurrences and generating matrices for the weighted sums of second order recurrences. We derive by matrix methods some new explicit formulas and combinatorial representations, and some relationships between the permanents of certain superdiagonal matrices and these sums.
Classification : 11B39, 15A36
Keywords: second order linear recurrences, weighted sums, generating matrix, permanent, generating functions 
@article{JIS_2009__12_2_a6,
     author = {Kili\c{c}, Emrah and St\u{a}nic\u{a}, Pantelimon},
     title = {Generating matrices for weighted sums of second order linear recurrences},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_2_a6/}
}
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Kiliç, Emrah; Stănică, Pantelimon. Generating matrices for weighted sums of second order linear recurrences. Journal of integer sequences, Tome 12 (2009) no. 2. http://geodesic.mathdoc.fr/item/JIS_2009__12_2_a6/