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]
Burian A +5 more
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A model for leaf initiation: determination of phyllotaxis by waves in the generative circle. [PDF]
Abraham-Shrauner B, Pickard BG.
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A stochastic multicellular model identifies biological watermarks from disorders in self-organized patterns of phyllotaxis. [PDF]
Refahi Y +6 more
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Datasets on the statistical and algebraic properties of primitive Pythagorean triples. [PDF]
Okagbue HI +5 more
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Equivalent pairs of words and points of connection. [PDF]
Mushtaq Q, Razaq A.
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On Concatenations of Fibonacci and Lucas Numbers
Bulletin of the Iranian Mathematical Society, 2022Let \( (F_n)_{n\ge 0} \) 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
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Power sums of Fibonacci and Lucas numbers
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.
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On the representation of k-generalized Fibonacci and Lucas numbers
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim Tuğlu, Ercan Altinisik
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Fibonacci numbers as mixed concatenations of Fibonacci and Lucas numbers
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
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