Geodesic
Combinatorial expressions involving Fibonacci, hyperfibonacci, and incomplete Fibonacci numbers
Journal of integer sequences, Tome 17 (2014) no. 4
We give a combinatorial interpretation, an explicit formula and some other properties of hyperfibonacci numbers. Further, we deduce relationships between Fibonacci, hyperfibonacci, and incomplete Fibonacci numbers.
Classification : 11B39, 05B45, 05A19, 11B37
Keywords: Fibonacci number, hyperfibonacci number, tiling, bijective proofs, incomplete Fibonacci number 
@article{JIS_2014__17_4_a5,
     author = {Belbachir,  Hac\`ene and Belkhir,  Amine},
     title = {Combinatorial expressions involving {Fibonacci,} hyperfibonacci, and incomplete {Fibonacci} numbers},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {4},
     zbl = {1350.11017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a5/}
}
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Belbachir,  Hacène; Belkhir,  Amine. Combinatorial expressions involving Fibonacci, hyperfibonacci, and incomplete Fibonacci numbers. Journal of integer sequences, Tome 17 (2014) no. 4. http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a5/