Results 161 to 170 of about 903 (200)
Cognitive representation in transitive inference: a comparison of four corvid species. [PDF]
Behav Processes, 2010 Bond AB, Wei CA, Kamil AC.
europepmc +1 more source
CONGRUENCES INVOLVING COMBINATIONS OF THE BERNOULLI AND FIBONACCI NUMBERS. [PDF]
Proc Natl Acad Sci U S A, 1957 Kelisky RP.
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A Note on the Bi-Periodic Fibonacci and Lucas Matrix Sequences [PDF]
Applied Mathematics and Computation, 2018 Abstract In this paper, we introduce the bi-periodic Lucas matrix sequence and present some fundamental properties of this generalized matrix sequence. Moreover, we investigate the important relationships between the bi-periodic Fibonacci and Lucas matrix sequences. We express that some behaviors of bi-periodic Lucas numbers also can be obtained by
Arzu Coşkun
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Diophantine Equations Involving the Bi-Periodic Fibonacci and Lucas Sequences [PDF]
Acta Et Commentationes Universitatis Tartuensis De Mathematica, 2022 In this paper, we present new identities involving the biperiodic Fibonacci and Lucas sequences. Then we solve completely some quadratic Diophantine equations involving the bi-periodic Fibonacci and Lucas ...
Lyes Ait-Amrane
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The Degree Sequence of Fibonacci and Lucas Cubes
Discrete Mathematics, 2011 The Fibonacci cube $\Gamma_n$ is the subgraph of the $n$-cube induced by the binary strings that contain no two consecutive 1's. The Lucas cube $\Lambda_n$ is obtained from $\Gamma_n$ by removing vertices that start and end with 1. It is proved that the number of vertices of degree $k$ in $\Gamma_n$ and $\Lambda_n$ is $\sum_{i = 0}^k \binom{n-2i}{k-i} \
Sandi Klavžar +2 more
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On the Sequences Related to Fibonacci and Lucas Numbers [PDF]
Journal of the Korean Mathematical Society, 2005 The sequences \(\{U_n\}_{n\geq 0}\) and \(\{V_n\}_{n\geq 0}\) are introduced by recurrence relations: \[ \begin{aligned} U_n &= (q- 2)(U_{n-2}- U_{n-4},\;n\geq 4,\\ V_n &= (q-2) V_{n-2}- V_{n-4},\;n\geq 4\end{aligned} \] with initial conditions \(U_0= 0\), \(U_1= 1\), \(U_2= 1\), \(U_4= q- 1\), \(V_0= 2\), \(V_1= 1\), \(V_2= q-1\), where \(q\geq 5\) is
Nihal Yilmaz Özgür
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