Results 141 to 150 of about 21,260 (290)
Fractal and FractionalIn this study, we define the k-Cullen, k-Cullen–Lucas, and Modified k-Cullen sequences, and certain terms in these sequences are given. Then, we obtain the Binet formulas, generating functions, summation formulas, etc.
Hakan Akkuş +2 more
doaj +1 more source
Matrix Sequences of Tetranacci and Tetranacci-Lucas Numbers
, 2019 In this paper, we define Tetranacci and Tetranacci-Lucas matrix sequences and investigate their properties.
Soykan, Yüksel
core +1 more source
The Anatomical Record, EarlyView.Abstract The study of morphological evolution is fundamentally tied to ontogeny, yet studies of these heterochronic processes in the fossil record are rare. Fossils belonging to an ontogenetic series are difficult to assign to an ontogenetic stage due to inconsistent proxies for skeletal ages, challenging to taxonomically assign due to morphological ...
Erika R. Goldsmith, Michelle R. Stocker
wiley +1 more source
, 2020 In this paper, we investigate four new special cases, namely, Tribonacci-Perrin, modified Tribonacci, modified Tribonacci-Lucas, adjusted Tribonacci-Lucas sequences, of the generalized Tribonacci sequences.
Soykan, Yüksel
core
Skeletal pathologies in extant crocodilians as a window into the paleopathology of fossil archosaurs
The Anatomical Record, EarlyView.Abstract Crocodilians, together with birds, are the only extant relatives to many extinct archosaur groups, making them highly important for interpreting paleopathological conditions in a phylogenetic disease bracketing model. Despite this, comprehensive data on osteopathologies in crocodilians remain scarce.
Alexis Cornille +6 more
wiley +1 more source
, 2013 In this short paper, we prove, by only using elementary tools, general cases when $U_n(P,Q) \neq \square$, where $U_n(P,Q)$ is the Lucas sequence of the first type.
openaire +2 more sources
The Anatomical Record, EarlyView.Abstract The ray‐finned fishes include one out of every two species of living vertebrates on Earth and have an abundant fossil record stretching 380 million years into the past. The division of systematic knowledge of ray‐finned fishes between paleontologists working on extinct animals and neontologists studying extant species has obscured the ...
Jack Stack
wiley +1 more source
Unique Properties of the Fibonacci and Lucas Sequences
, 2017 The algebraic structure of the set of all Fibonacci-like sequences, which includes the Fibonacci and Lucas sequences, is developed, utilizing an isomorphism between this set and a subset of the 2 by 2 integer matrices.
Parry, Stephen
core
Generalizations of Fibonacci and Lucas sequences
, 2002 In this paper, we consider the Hecke groups $H(\sqrt{q}),~q\geq 5$ prime number, and we find an interesting number sequence whichis denoted by $d_n.$ For $q=5$, we get $d_{2n}=L_{2n+1}$ and $d_{2n+1}=\sqrt{%5}F_{2n+2}$ where $L_{2n+1}$ is $(2n+1)$th ...
Yilmaz Özgür, Nihal
core +1 more source
The Anatomical Record, EarlyView.Abstract The Upper Cretaceous São José do Rio Preto Formation (Bauru Group, southeastern Brazil) has yielded a fragmentary but taxonomically diverse record of titanosaur sauropods, although elements from cervical series remain scarce. Here, we describe a nearly complete sauropod axis from the Vila Ventura Paleontological Area, representing an uncommon ...
Bruno A. Navarro +7 more
wiley +1 more source