Results 81 to 90 of about 2,413 (223)
On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]
Mathematica BohemicaWe consider a new family of recurrence sequences, the $(q,k)$-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$-generalized Fibonacci numbers and generalized $k$-order Pell numbers.
Jean Lelis +3 more
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k–step Fibonacci sequences and Fibonacci matrices
, 2017 In this paper, the powers of the Fibonacci matrices are investigated and closed formulas for their entries are derived, related to the suitable terms of the k− step Fibonacci sequences in order to develop the properties of the irreducibility and ...
Adam M., Assimakis N.
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Block scheduling in practice: An optimal decomposition strategy for nonidentical operating rooms
Decision Sciences, Volume 57, Issue 2, Page 95-116, April 2026.Abstract We develop and implement a Master Surgery Schedule for a real‐life hospital, assigning operating room (OR) time to surgical specialties over a multi‐week horizon. Through action research, we identify a critical operational challenge: the issue of split blocks. Split blocks allow two specialties to share an OR on the same day—one in the morning,
Vincent J. J. van Ham +2 more
wiley +1 more source
Psychoacoustic properties of Fibonacci-sequences
, 2007 1202, Fibonacci set up one of the most interesting sequences in number theory. This sequence can be represented by so-called Fibonacci Numbers, and by a binary sequence of zeros and ones.
Sokoll, Jan +5 more
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Hausdorff dimension of double‐base expansions and binary shifts with a hole
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract For two real bases q0,q1>1$q_0, q_1 > 1$, a binary sequence i1i2⋯∈{0,1}∞$i_1 i_2 \cdots \in \lbrace 0,1\rbrace ^\infty$ is the (q0,q1)$(q_0,q_1)$‐expansion of the number πq0,q1(i1i2⋯)=∑k=1∞ikqi1⋯qik.$$\begin{equation*} \pi _{q_0,q_1}(i_1 i_2 \cdots) = \sum _{k=1}^\infty \frac{i_k}{q_{i_1} \cdots q_{i_k}}.
Jian Lu, Wolfgang Steiner, Yuru Zou
wiley +1 more source
Non-Abelian Sequenceable Groups Involving ?-Covers [PDF]
Journal of Sciences, Islamic Republic of Iran, 2009 A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , .
H. Doostie
doaj
Two Fibonacci-like sequences [PDF]
Notes on Number Theory and Discrete MathematicsIn the present paper we will discuss the two Fibonacci-like sequences s₂ₖ₊₁=s₂ₖ-s₂ₖ₋₁+...-s₁+s₀ with s₀=a₀,...,s₂ₖ=a₂ₖ and s₂ₖ₊₂=s₂ₖ₊₁-s₂ₖ+...+s₁-s₀ with s₀=a₀,...,s₂ₖ=a₂ₖ₊₁, where a₀,...,a₂ₖ₊₁ are arbitrary numbers.
Krassimir T. Atanassov +1 more
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On the intersection of two distinct $k$-generalized Fibonacci sequences [PDF]
, 2011 summary:Let $k\geq 2$ and define $F^{(k)}:=(F_n^{(k)})_{n\geq 0}$, the $k$-generalized Fibonacci sequence whose terms satisfy the recurrence relation $F_n^{(k)}=F_{n-1}^{(k)}+F_{n-2}^{(k)}+\cdots + F_{n-k}^{(k)}$, with initial conditions $0,0,\dots ,0,1$
Marques, Diego, Max A. Alekseyev
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Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
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