A TILING INTERPRETATION FOR (p,q)-FIBONACCI AND (p,q)-LUCAS NUMBERS
نویسندگان
چکیده
In this paper, we introduce a tiling approach to (p,q)-Fibonacci and (p,q)-Lucas numbers that generalize of the well-known Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal ve Jacobsthal-Lucas numbers. We show nth number is interpreted as ways tile 1×n board with cells labeled 1,2,...,n using colored 1×1 squares 1×2 dominoes, where there are p kind colors for q dominoes. Then circular also present some generalized Fibonacci Lucas identities approach.
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ژورنال
عنوان ژورنال: Journal of universal mathematics
سال: 2022
ISSN: ['2618-5660']
DOI: https://doi.org/10.33773/jum.1142805