Hyperfibonacci sequences and polytopic numbers (CROSBI ID 231746)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Cristea, Ligia L. ; Martinjak, Ivica ; Urbiha, Igor
engleski
Hyperfibonacci sequences and polytopic numbers
We prove that the difference between the $n$th hyperfibonacci number of the $r$th generation and its two consecutive predecessors is the $n$th regular $(r-1)$-topic number. Using this fact, we provide an equivalent recursive definition of the hyperfibonacci sequences, and derive an extension of the Binet formula. We also prove further identities involving both hyperfibonacci and hyperlucas sequences, in full generality.
Fibonacci sequence; hyperfibonacci sequence; hyperlucas s equence; Binet for- mula; polytopic number
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
Povezanost rada
Matematika