Binomial Transform of (s, t) – Pell Sequence
نویسندگان
چکیده
منابع مشابه
Pell ’ s Equation
An arbitrary quadratic diophantine equation with two unknowns can be reduced to a Pell-type equation. How can such equations be solved? Recall that the general solution of a linear diophantine equation is a linear function of some parameters. This does not happen with general quadratic diophantine equations. However, as we will see later, in the case of such equations with two unknowns there st...
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We provide three new polynomial generalizations for the Pell sequence an, also, new formulas for this sequence. An interesting relation, in terms of partitions, between the Pell and the Fibonacci sequences is given, Finally two combinatorial interpretations for the Fibonacci numbers are given by making use of the Rogers-Ramanujan identities.
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ژورنال
عنوان ژورنال: Journal of scientific research
سال: 2020
ISSN: 0447-9483
DOI: 10.37398/jsr.2020.640234