Generalizations of Fibonacci and Lucas sequences
Abstract
In this paper, we consider the Hecke groups prime number, and we find an interesting number sequence whichis denoted by For , we get and where is th Lucas number and is Fibonacci number. From this sequence, we obtain two new sequenceswhich are, in a sense, generalizations of Fibonacci and Lucas sequences.
DOI Code:
10.1285/i15900932v21n1p113
Keywords:
Hecke groups; Fibonacci numbers; Lucas numbers
Classification:
11B39; 20H10
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