Combinatorial Expressions Involving Fibonacci, Hyperfibonacci, and Incomplete Fibonacci Numbers
Hacène Belbachir and Amine Belkhir
USTHB, Faculty of Mathematics
RECITS Laboratory, DG-RSDT
BP 32, El Alia 16111
Bab Ezzouar, Algiers
Algeria
Abstract:
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.
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(Concerned with sequences
A000045
A000071
A136431.)
Received October 2 2013;
revised version received January 22 2014.
Published in Journal of Integer Sequences, February 16 2014.
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