Results 171 to 180 of about 1,051 (219)

The CUP-SHAPED COTYLEDON2 and 3 genes have a post-meristematic effect on Arabidopsis thaliana phyllotaxis. [PDF]

open access: yesAnn Bot, 2015
Burian A   +5 more
europepmc   +1 more source

Datasets on the statistical and algebraic properties of primitive Pythagorean triples. [PDF]

open access: yesData Brief, 2017
Okagbue HI   +5 more
europepmc   +1 more source

Equivalent pairs of words and points of connection. [PDF]

open access: yesScientificWorldJournal, 2014
Mushtaq Q, Razaq A.
europepmc   +1 more source

On Concatenations of Fibonacci and Lucas Numbers

Bulletin of the Iranian Mathematical Society, 2022
Let \( (F_n)_{n\ge 0} \) and \( (L_n)_{n\ge 0} \) be the usual Fibonacci and Lucas sequences defined respectively by the linear recurrence relations: \( F_0=0 \), \( F_1=1 \), \( F_{n+2}=F_{n+1}+F_n \) and \( L_0=2 \), \( L_1=1 \), \( L_{n+2}=L_{n+1}+L_n \) for all \( n\ge 0 \).
Murat Alan
exaly   +3 more sources

Power sums of Fibonacci and Lucas numbers

open access: yesQuaestiones Mathematicae, 2011
Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are established, which include, as special cases, four for-mulae for odd power sums of Melham type on Fibonacci and Lucas numbers, obtained recently by Ozeki and Prodinger (2009).Quaestiones Mathematicae 34(2011), 75 ...
CHU, Wenchang, LI N. N.
openaire   +4 more sources

On the representation of k-generalized Fibonacci and Lucas numbers

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim Tuğlu, Ercan Altinisik
exaly   +4 more sources

Fibonacci numbers as mixed concatenations of Fibonacci and Lucas numbers

open access: yesMathematica Slovaca
AbstractLet (Fn)n≥0and (Ln)n≥0be the Fibonacci and Lucas sequences, respectively. In this paper we determine all Fibonacci numbers which are mixed concatenations of a Fibonacci and a Lucas numbers. By mixed concatenations ofaandb, we mean the both concatenationsabandbatogether, whereaandbare any two nonnegative integers.
Altassan, Alaa, ALAN, Murat
openaire   +3 more sources

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