Some Properties of Hyperfibonacci and Hyperlucas Numbers
Ning-Ning Cao and Feng-Zhen Zhao
School of Mathematical Sciences
Dalian University of Technology
Dalian 116024
China
Abstract:
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.
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(Concerned with sequences
A000048
A000071
A001610
A001924
A023548.)
Received June 6 2010;
revised version received September 8 2010.
Published in Journal of Integer Sequences,
September 10 2010. Corrected, March 26 2011.
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