A tribute to the harmony of the cosmos and the human mind.

Fibonacci Day 🔢🌀 (November 22-23, 2025)

#LightsShow #FibonacciSeries #Youtube

Fibonacci Day (part three) 🔢🌀 #fibonacciseries #numbers #magicnumbers #universe

https://youtube.com/shorts/4-wHESEp-bE?si=gEAdjm8gzs39-ahm

Fibonacci Day 🔢🌀

💡Lights Show/ Live in Pisa

#numbers #fibonacciseries #aureasection #lightshow #youtube

https://youtube.com/shorts/fCEefgne3cY?si=CWmhpN5Jxh8m_8VB

An infinite sum consisting of Fibonacci numbers:

\[\displaystyle\sum_{n\geq0}\binom{2n}{n}\dfrac{F_n}{8^n}=\sqrt{\dfrac{2}{5}}\]

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For any integer \(n\geq3\),

\[\left\lfloor\dfrac{1}{1-\displaystyle\prod_{k=n}^\infty\left(1-\dfrac{1}{F_k}\right)}\right\rfloor=F_{n-2}\]
where \(F_n\) is the \(n\)-th Fibonacci number.
#FibonacciNumber #Fibonacci #FibonacciSequence #FibonacciSeries #Product #FloorFunction #Floor #InfiniteProduct