Tri–Periodic Fibonacci Numbers and Tri–Periodic Leonardo Numbers
In this study, we explore the properties of tri-periodic Fibonacci and tri-periodic Leonardo number sequences. Then we derive generating function of these sequences and give Binet's formula for the tri-periodic Fibonacci sequence. Furthermore, we present Cassani's identity associated with tri-periodic Fibonacci sequnce.
Bahadır Yılmaz, Yüksel Soykan
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A Systematic Review of Fibonacci Sequence in the Human Abdominal Wall: Facts and Reality. [PDF]
Cureus, 2022 Ravindra C, Rengan V, B R.
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Do Plants Know Math? Unwinding the Story of Plant Spirals, From Leonardo da Vinci to Now
Journal of the Botanical Research Institute of TexasDo Plants Know Math? takes you down through the centuries to explore how great minds have been captivated and mystified by Fibonacci patterns in nature.
Barney L. Lipscomb
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Some infinite series summations involving linear recurrence relations of order 2 and 3 [PDF]
Notes on Number Theory and Discrete MathematicsThis paper extends known results of second and third order recursive sequences through extensive formulations of properties of the roots of their characteristic equations, some are old but most are new. They are applied to novel studies of Σₙ₌ₒ^∞ aₘₙ/10ⁿ⁺
Anthony G. Shannon +4 more
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A Note on the Fuzzy Leonardo Numbers
Transactions on Fuzzy Sets and SystemsIn this work, we define a new sequence denominated by fuzzy Leonardo numbers. Some algebraic properties of this new sequence are studied and several identities are established.
Elen Viviani Pereira Spreafico +2 more
doaj
A promising approach using Fibonacci sequence-based optimization algorithms and advanced computing. [PDF]
Sci Rep, 2023 Tran-Ngoc H +5 more
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Beyond the 21-cm Notch-to-nipple Myth: Golden Proportions in Breast Aesthetics. [PDF]
Plast Reconstr Surg Glob Open, 2021 Sandberg LJ +11 more
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Energy crypto currencies and leading U.S. energy stock prices: are Fibonacci retracements profitable? [PDF]
Financ Innov, 2022 Gurrib I, Nourani M, Bhaskaran RK.
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A New Pooling Approach Based on Zeckendorf's Theorem for Texture Transfer Information. [PDF]
Entropy (Basel), 2021 Vigneron V, Maaref H, Syed TQ.
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The art of painting chromosome loops. [PDF]
Quant Plant Biol, 2023 Berr A, Chabouté ME.
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