Results 31 to 40 of about 145,594 (304)

Exact divisibility by powers of the integers in the Lucas sequence of the first kind

AIMS Mathematics, 2020
Lucas sequence of the first kind is an integer sequence $(U_n)_{n\geq0}$ which depends on parameters $a,b\in\mathbb{Z}$ and is defined by the recurrence relation $U_0=0$, $U_1=1$, and $U_n=aU_{n-1}+bU_{n-2}$ for $n\geq2$. In this article, we obtain exact
Kritkhajohn Onphaeng, Prapanpong Pongsriiam   +1 more
doaj   +1 more source

The restoration potential of offshore mussel farming on degraded seabed habitat

Aquaculture, Fish and Fisheries, Volume 2, Issue 6, Page 437-449, December 2022., 2022
Due to the artificial structures that accumulate mussels and exclude destructive fishing practices, the seabed could be restored by the installation of mussel farming structure. After four years, there was a significantly greater abundance of mobile taxa compared to the Controls that remained open to trawling. Commercial European lobster and brown crab
Danielle Bridger, Martin J. Attrill, Bede F. R. Davies, Luke A. Holmes, Amy Cartwright, Siân E. Rees, Llucia Mascorda Cabre, Emma V. Sheehan   +7 more
wiley   +1 more source

On squares in Lucas sequences

Journal of Number Theory, 2007
Let P and Q be non-zero integers. The Lucas sequence U_n(P,Q) is defined by U_0=0, U_1=1, U_n= P*U_{n-1}-Q*U_{n-2} for n >1. The question of when U_n(P,Q) can be a perfect square has generated interest in the literature. We show that for n=2,...,7, U_n is a square for infinitely many pairs (P,Q) with gcd(P,Q)=1; further, for n=8,...,12, the only non-
Andrew Bremner, Nikos Tzanakis
openaire   +3 more sources

On some new results for the generalised Lucas sequences

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper we introduce the functions which count the number of generalized Lucas and Pell-Lucas sequence terms not exceeding a given value x and, under certain conditions, we derive exact formulae (Theorems 3 and 4) and establish asymptotic limits ...
Andrica Dorin, Bagdasar Ovidiu, Ţurcaş George Cătălin   +2 more
doaj   +1 more source

On the Monoid Generated by a Lucas Sequence [PDF]

, 2017
A Lucas sequence is a sequence of the general form $v_n = ( ^n - \bar ^n)/( -\bar )$, where $ $ and $\bar $ are real algebraic integers such that $ +\bar $ and $ \bar $ are both rational. Famous examples include the Fibonacci numbers, the Pell numbers, and the Mersenne numbers.
Clemens Heuberger, Stephan Wagner
openaire   +4 more sources

1p36 deletion syndrome: Review and mapping with further characterization of the phenotype, a new cohort of 86 patients

American Journal of Medical Genetics Part A, Volume 191, Issue 2, Page 445-458, February 2023., 2023
Abstract Chromosome 1p36 deletion syndrome (1p36DS) is one of the most common terminal deletion syndromes (incidence between 1/5000 and 1/10,000 live births in the American population), due to a heterozygous deletion of part of the short arm of chromosome 1.
Clémence Jacquin, Emilie Landais, Céline Poirsier, Alexandra Afenjar, Ahmad Akhavi, Nathalie Bednarek, Caroline Bénech, Adeline Bonnard, Damien Bosquet, Lydie Burglen, Patrick Callier, Sandra Chantot‐Bastaraud, Christine Coubes, Charles Coutton, Bruno Delobel, Margaux Descharmes, Jean‐Michel Dupont, Vincent Gatinois, Nicolas Gruchy, Sarah Guterman, Abdelkader Heddar, Lucas Herissant, Delphine Heron, Bertrand Isidor, Pauline Jaeger, Guillaume Jouret, Boris Keren, Paul Kuentz, Cedric Le Caignec, Jonathan Levy, Nathalie Lopez, Zoe Manssens, Dominique Martin‐Coignard, Isabelle Marey, Cyril Mignot, Chantal Missirian, Céline Pebrel‐Richard, Lucile Pinson, Jacques Puechberty, Sylvia Redon, Damien Sanlaville, Marta Spodenkiewicz, Anne‐Claude Tabet, Alain Verloes, Gaelle Vieville, Catherine Yardin, François Vialard, Martine Doco‐Fenzy   +47 more
wiley   +1 more source

On the reciprocal products of generalized Fibonacci sequences

Journal of Inequalities and Applications, 2022
In this paper, we use the properties of error estimation and the analytic method to study the reciprocal products of the bi-periodic Fibonacci sequence, the bi-periodic Lucas sequence, and the mth-order linear recursive sequence.
Tingting Du, Zhengang Wu
doaj   +1 more source

The first map of crop sequence types in Europe over 2012–2018 [PDF]

Earth System Science Data, 2023
Crop diversification is considered a key element of agroecological transition, whereas current dominant cropping systems are known to rely on only a few crop species – like cereals in Europe.
R. Ballot, N. Guilpart, M.-H. Jeuffroy
doaj   +1 more source

Clinical overview on RASopathies

American Journal of Medical Genetics Part C: Seminars in Medical Genetics, Volume 190, Issue 4, Page 414-424, December 2022., 2022
Abstract RASopathies comprise a group of clinically overlapping developmental disorders caused by genetic variations affecting components or modulators of the RAS‐MAPK signaling cascade, which lead to dysregulation of signal flow through this pathway.
Martin Zenker
wiley   +1 more source

Identities relating six members of the Fibonacci family of sequences

Karpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
doaj   +1 more source