On the Sums of Reciprocal Hyperfibonacci Numbers and Hyperlucas Numbers
Rui Liu and Feng-zhen Zhao
Department of Mathematics
Dalian University of Technology
Dalian, Liaoning 116024
P. R. China
Abstract:
In this paper, we discuss the properties of hyperfibonacci numbers
and hyperlucas numbers. We investigate the sums of reciprocal
hyperfibonacci numbers and hyperlucas numbers. In addition, we
establish some identities related to reciprocal hyperfibonacci
numbers and hyperlucas numbers.
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(Concerned with sequences
A000071 and
A001610.)
Received December 29 2011;
revised version received March 26 2012.
Published in Journal of Integer Sequences, April 9 2012.
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