Results 31 to 40 of about 503 (122)
Dual Proximal Groups Concisely Representing Complex Hosoya Triangles
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül +3 more
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On the pulsating Padovan sequence
Notes on Number Theory and Discrete MathematicsA novel kind of Padovan sequence is introduced, and precise formulas for the form of its members are given and proven. Furthermore, the pulsating Padovan sequence in its most general form is introduced and the obtained identity is proved.
Orhan Dişkaya, Hamza Menken
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Journal of Geophysical Research: Planets, Volume 130, Issue 12, December 2025.Abstract NASA's MErcury Surface, Space ENvironment, GEochemistry, and Ranging mission has revealed that about 27% of the surface of Mercury is covered by smooth plains, which are mostly volcanic in origin. These plains are mainly located in the northern hemisphere, as well as within and around major impact basins.
E. Caminiti +3 more
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Pillai’s problem with the Fibonacci andPadovan sequences [PDF]
Annales Mathematicae et Informaticae, 2019 Summary: Let \((F_m)_{m\geq 0}\) and \((P_n)_{n\geq 0}\) be the Fibonacci and Padovan sequences given by the initial conditions \(F_0 = 0,F_1 = 1,P_0 = 0,P_1 = P_2 = 1\) and the recurrence formulas \(F_{m+2} = F_{m+1} + F_{m} ,P_{n+3} = P_{n+1} + P_n\) for all \(m,n \geq 0\), respectively.
García Lomelí, Ana Cecilia +2 more
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On the intersection of Padovan, Perrin sequences and Pell, Pell-Lucas sequences
Annales Mathematicae et Informaticae, 2021 Summary: In this paper, we find all the Padovan and Perrin numbers which are Pell or Pell-Lucas numbers.
Rihane, Salah Eddine, Togbé, Alain
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The Impact of a Long‐Lived Basal Magma Ocean on the Thermochemical Evolution of Mars
Journal of Geophysical Research: Planets, Volume 130, Issue 11, November 2025.Abstract A basal magma ocean (BMO) has been suggested to form as a consequence of cumulate overturn following crystallization of an initial global magma ocean. As a consequence of enrichment in iron and heat‐producing elements (HPE), the BMO stabilizes gravitationally at the base of the planetary mantle, affecting the efficiency of mantle convection ...
Kar Wai Cheng +3 more
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, 2019 The aim of this article is to give some properties of the so-called Padovan sequence $(T_n)_{n \ge 0}$ defined by $$ T_{n+3}=T_{n+1}+T_n \forall n \in \mathbb{N}, T_1=T_2=T_3=1$$ that is divisibility properties, periods, identities.
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Journal of Neurochemistry, Volume 169, Issue 8, August 2025.Early‐life social isolation (ESI) impacts brain development and may increase vulnerability to neuropsychiatric disorders. In this study, brief ESI (PND 14–21) induced sex‐specific, long‐lasting effects on social reward behavior and neuroplasticity in rats.
M. Di Trapano +11 more
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Influences of plant maternal effects, chemotype, and environment on the leaf bacterial community
Plant Biology, Volume 27, Issue 5, Page 903-912, August 2025.Plant maternal effects and growth environment, rather than terpenoid chemotype, determine the leaf microbial community of Tanacetum vulgare, but specific terpenoids are correlated with the abundance of certain bacteria. Abstract Plant individuals within a species can differ markedly in their leaf chemical composition, forming so‐called chemotypes ...
A. Malacrinò +3 more
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On factorials in Perrin and Padovan sequences
TURKISH JOURNAL OF MATHEMATICS, 2019 Summary: Assume that \(w_n\) is the \(n\)th term of either Padovan or Perrin sequence. In this paper, we solve the equation \(w_n=m!\) completely.
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