Results 91 to 100 of about 847 (107)
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Pencils of Euler Triples, I

Sarajevo Journal of Mathematics
In this paper we will study the families of triples $(u,v,w)$ of elements in a commutative ring $r$ with the property that $v\,w+n=\widetilde{u}^2$, $w\,u+n=\widetilde{v}^2$ and $u\,v+n=\widetilde{w}^2$ for some $n, ...
Z. Čerin
semanticscholar   +1 more source

Generalized Tribonacci Sequence and its Sum Through Third Order Difference Operator

2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG)
This study presents the generalized third-order difference operator with constant coefficients and inverse, allowing us to construct a sequence similar to the generalized k-Fibonacci sequence.
Rajiniganth P   +4 more
semanticscholar   +1 more source

Fixed points of automorphisms of certain finite groups

International Journal of Algebra, 2019
Let G = Zp2 × Zp3 be a finite group of order p5. Suppose that d is a divisor of the order of group G. In this article, we enumerated all automorphisms of G fixing d elements of G and denote them by Θ(G, d), we characterize the automorphism group as 2 by ...
F. Ali, Umar Hayat, Yongjin Li
semanticscholar   +1 more source

Some results on a generalized bi-periodic Lucas sequence

, 2020
In this paper we consider a generalized bi-periodic Lucas sequence introduced by Bilgici. For this sequence we derive the Catalan’s identity and Gelin-Cesàro identity.
Y. Choo
semanticscholar   +1 more source

On the reciprocal sums of products of two generalized Fibonacci numbers

International Journal of Mathematical Analysis, 2019
In this paper we derive quite general identities for the reciprocal sums of products of two generalized Fibonacci numbers.
Y. Choo
semanticscholar   +1 more source

Recurrences for Entries of Powers of Matrices

The Fibonacci quarterly, 2017
In this note, giving course to a challenge in a recent paper of Larcombe [2], we find the entries of any nth power of a 3×3 matrix, and as a byproduct, we recover Larcombe’s result on 2× 2 matrices.
Gabriela Stanica, P. Stănică
semanticscholar   +1 more source

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