Geodesic
Some generalized Fibonacci polynomials
Journal of integer sequences, Tome 10 (2007) no. 5
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 
@article{JIS_2007__10_5_a3,
     author = {Shattuck,  Mark A. and Wagner,  Carl G.},
     title = {Some generalized {Fibonacci} polynomials},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {5},
     zbl = {1146.11009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a3/}
}
TY  - JOUR
AU  - Shattuck,  Mark A.
AU  - Wagner,  Carl G.
TI  - Some generalized Fibonacci polynomials
JO  - Journal of integer sequences
PY  - 2007
VL  - 10
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a3/
LA  - en
ID  - JIS_2007__10_5_a3
ER  - 
%0 Journal Article
%A Shattuck,  Mark A.
%A Wagner,  Carl G.
%T Some generalized Fibonacci polynomials
%J Journal of integer sequences
%D 2007
%V 10
%N 5
%U http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a3/
%G en
%F JIS_2007__10_5_a3
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/