Geodesic
Combinatorial expressions involving Fibonacci, hyperfibonacci, and incomplete Fibonacci numbers
Journal of integer sequences, Tome 17 (2014) no. 4.

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

Summary: 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},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2014},
     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/