Results 101 to 110 of about 128 (117)
Some of the next articles are maybe not open access.
The Binet Formulas for the Pell and Pell-Lucas p-Numbers.
Ars Comb., 2007In 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.
Kocer, E. Gokcen, Tuglu, Naim
openaire +3 more sources
Two-periodic ternary recurrences and their Binet-formula
2012The 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.
Alp , M, Irmak , N, Szalay, László
openaire +3 more sources
Binet type formula for Tribonacci sequence with arbitrary initial numbers
Chaos, Solitons & Fractals, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Quantum m*n-matrices and q-deformed Binet-Cauchy formula
Journal of Physics A: Mathematical and General, 1991Summary: Quantum multiplicative matrices of size \(m\times n\) are introduced and studied. The \(q\)-generalization of the Binet-Cauchy formula is found.
openaire +2 more sources
New Proofs of Binet’s Formulas Using The Lucas Q-Matrix
Panamerican Mathematical JournalThe Fibonacci and Lucas sequences play a fundamental role in Number Theory and have deep connections with Linear Algebra and Matrix Theory. This paper explores an alternative approach to proving Binet’s formulas for these sequences using the Lucas -matrix, denoted by .
openaire +1 more source
THE GRADED GENERALIZED FIBONACCI SEQUENCE AND BINET FORMULA
Far East Journal of Mathematical Sciences (FJMS), 2017Won Sang Chung, Minji Han, Jae Yoon Kim
openaire +1 more source
Approximation of ∞-Generalized Fibonacci Sequences and Their Asymptotic Binet Formula
The Fibonacci Quarterly, 2001Benaissa Bernoussi +3 more
openaire +1 more source