Journal of Integer Sequences, Vol. 17 (2014), Article 14.4.3

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


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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