Results 61 to 70 of about 1,548,336 (157)
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
openaire +3 more sources
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
openaire +4 more sources
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
wiley +1 more source
On the Two‐Term Zeckendorf Representations of the Padovan and Perrin Sequences
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we completely solve the Diophantine equations Pm = Fn + Fk and Em = Fn + Fk under the condition n ≥ k + 2 ≥ 4, where Pm is the m‐th Padovan number, Em is the m‐th Perrin number, and Fk is the k‐th Fibonacci number. This work determines all terms of the Padovan and Perrin sequences that admit a unique two‐term Zeckendorf representation ...
Awaou Lare Ousseni +4 more
wiley +1 more source
On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
doaj +1 more source
A NEW GENERALIZATION OF THE PADOVAN SEQUENCE
, 2022 Integers number sequences in mathematics are one of the subjects with the most ap- plication area. The Fibonacci number sequence has applications in many branches of science such as nature, anatomy, botany, zoology, art, music, analysis, physics, astronomy, chemistry, biology and computers.
Dişkaya, Orhan +2 more
openaire +1 more source
The Period and Rank of the Complex-type Padovan-p Numbers Modulo m
, 2021 In this paper, we study the complex-type Padovan-p sequence modulo m and then we give some results concerning the periods and ranks of this sequence for any p and m.
Omur Deveci, Ozgur Erdag
core +1 more source
On Generalized Padovan Numbers
, 2021 In this paper, we investigate the generalized Padovan sequences and we deal with, in detail, four special cases, namely, Padovan, Perrin, Padovan-Perrin and modified Padovan sequences.
Soykan, Yüksel
core +1 more source
On the Construction of 3D Fibonacci Spirals
MathematicsThe paper aims to extend the classical two-dimensional (2D) Fibonacci spiral into three-dimensional (3D) space by using geometric constructions starting from cubic Fibonacci identities and relying on affine maps and parametrizations of the curves.
Mariana Nagy +2 more
doaj +1 more source
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
wiley +1 more source