Combinatorial expressions involving Fibonacci, hyperfibonacci, and incomplete Fibonacci numbers
J. Integer Seq. 17(4), Article 14.4.3, 7 p., electronic only (2014)
Summary
Summary: 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.
Mathematics Subject Classification
11B39, 05B45, 05A19, 11B37
Keywords/Phrases
Fibonacci number, hyperfibonacci number, tiling, bijective proofs, incomplete Fibonacci number
