Geodesic
Some generalized Fibonacci polynomials
Journal of integer sequences, Tome 10 (2007) no. 5.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We introduce polynomial generalizations of the $r$-Fibonacci, $r$-Gibonacci, and $r$-Lucas sequences which arise in connection with two statistics defined, respectively, on linear, phased, and circular $r$-mino arrangements.
Classification : 11B39, 05A15
Keywords: r-mino arrangement, polynomial generalization, Fibonacci numbers, Lucas numbers, gibonacci numbers 
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     author = {Shattuck, Mark A. and Wagner, Carl G.},
     title = {Some generalized {Fibonacci} polynomials},
     journal = {Journal of integer sequences},
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     number = {5},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a3/}
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Shattuck, Mark A.; Wagner, Carl G. Some generalized Fibonacci polynomials. Journal of integer sequences, Tome 10 (2007) no. 5. http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a3/