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TWO-PERIODIC TERNARY RECURRENCES AND THEIR BINET-FORMULA
, 2012 The two-periodic ternary recurrence sequence is defined by relations \(\gamma _n=a\gamma _{n-1}+b\gamma _{n-2}+c\gamma _{n-3}\) if \(n\) is even and \(\gamma _n=d\gamma _{n-1}+e\gamma _{n-2}+f\gamma _{n-3}\) if \(n\) is odd. In this paper, Cooper's approach [\textit{C. Cooper}, Congr.
Murat Alp +2 more
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Binet-Like Formulas From a Simple Expansion
The Fibonacci Quarterly, 2011 Martin Griffiths
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The Binet Formulas for the Pell and Pell-Lucas p-Numbers.
, 2007 In this paper, we define the Pell and Pell-Lucas p-numbers and derive the analytical formulas for these numbers. These formulas are similar to Bin et's formula for the classical Pell numbers.
E. Gökçen Koçer, Naim Tuğlu
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ON THE GENERALIZED BINET FORMULAS OF THE k-PADOVAN NUMBERS
Far East Journal of Mathematical Sciences (FJMS), 2016 Gwangyeon Lee
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Dirichlet Convolution and the Binet Formula
2023Summary: The main aim of this note is to show that the set of closed triples of generalized Fibonacci arithmetic functions under the Dirichlet convolution is a singleton set. This unique Dirichlet convolution identity is the Binet Fibonacci number formula in terms of arithmetic functions and the Dirichlet convolution.
Schwab, Emil Daniel, Schwab, Gabriela
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Linear Recursion Relations Lesson Three - The Binet Formulas
The Fibonacci Quarterly, 1969 Brother Alfred Brousseau
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From Fibonacci Numbers to Geometric Sequences and the Binet Formula by Way of the Golden Ratio!
, 1997 Angelo S. DiDomenico
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Mathematics Magazine, 2004
Proof. The classical way to solve a linear equation system is by performing row operations: (i) add one row to another row, (ii) multiply a row with a nonzero scalar and (iii) exchange two rows. We show that the quotient in equation (1) will not change under row operations.
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Proof. The classical way to solve a linear equation system is by performing row operations: (i) add one row to another row, (ii) multiply a row with a nonzero scalar and (iii) exchange two rows. We show that the quotient in equation (1) will not change under row operations.
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Generalization of Binet's Gamma function formulas
Integral Transforms and Special Functions, 2013Several representations for the logarithm of the Gamma function exist in the literature. There are four important expansions which bear the name of Binet. Hermite generalized Binet's first formula to the logarithm of the Gamma function with shifted argument.
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