Geodesic
Some properties of hyperfibonacci and hyperlucas numbers
Journal of integer sequences, Tome 13 (2010) no. 8
In this paper, we discuss the properties of hyperfibonacci numbers and hyperlucas numbers. We derive some identities for hyperfibonacci and hyperlucas numbers by the method of coefficients. Furthermore, we give asymptotic expansions of certain sums involving hyperfibonacci and hyperlucas numbers by Darboux's method.
Classification : 11B37, 11B39, 05A16, 05A19
Keywords: Fibonacci numbers, Lucas numbers, generating function, asymptotic expansion, Darboux's method 
@article{JIS_2010__13_8_a7,
     author = {Cao,  Ning-Ning and Zhao,  Feng-Zhen},
     title = {Some properties of hyperfibonacci and hyperlucas numbers},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {8},
     zbl = {1263.11017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a7/}
}
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Cao,  Ning-Ning; Zhao,  Feng-Zhen. Some properties of hyperfibonacci and hyperlucas numbers. Journal of integer sequences, Tome 13 (2010) no. 8. http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a7/