Fibonacci numbers

Fibonorial

In mathematics, the Fibonorial n!F, also called the Fibonacci factorial, where n is a nonnegative integer, is defined as the product of the first n positive Fibonacci numbers, i.e. where Fi is the ith Fibonacci number, and 0!F gives the empty product (defined as the multiplicative identity, i.e. 1). The Fibonorial n!F is defined analogously to the factorial n!. The Fibonorial numbers are used in the definition of Fibonomial coefficients (or Fibonacci-binomial coefficients) similarly as the factorial numbers are used in the definition of binomial coefficients. (Wikipedia).

Video thumbnail

STAIRS reveal the relationship between Fibonacci and combinatorics

Part I: https://youtu.be/Hl61mJxILA4 Source of the beautiful thumbnail: https://www.videoblocks.com/video/winter-stargate-deep-space-fibonacci-spiral-infinite-zoom-scl2tvcpliylych5s I am still surprised at why I have not thought of this more direct linkage between Fibonacci numbers and c

From playlist Fibonacci

Video thumbnail

Exercise - Write a Fibonacci Function

Introduction to the Fibonacci Sequence and a programming challenge

From playlist Computer Science

Video thumbnail

What do Fibonacci numbers have to do with combinatorics?

Part II: https://youtu.be/_RHXmGWXUvw Note: You ABSOLUTELY DON'T NEED TO HAVE KNOWN ANY COMBINATORICS because the combinatorics required in this video would be explained thoroughly. Source of the beautiful thumbnail: https://www.videoblocks.com/video/winter-stargate-deep-space-fibonacci-

From playlist Fibonacci

Video thumbnail

Iterative Fibonacci Function Example

One way to write a Fibonacci function iteratively

From playlist Computer Science

Video thumbnail

The golden ratio | Lecture 3 | Fibonacci Numbers and the Golden Ratio

The classical definition of the golden ratio. Two positive numbers are said to be in the golden ratio if the ratio between the larger number and the smaller number is the same as the ratio between their sum and the larger number. Phi=(1+sqrt(5))/2 approx 1.618. Join me on Coursera: http

From playlist Fibonacci Numbers and the Golden Ratio

Video thumbnail

Greatest Common Divisor of Fibonacci Numbers

We prove a result regarding the greatest common divisor of Fibonacci numbers. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Identities involving Fibonacci numbers

Video thumbnail

The Fibonacci bamboozlement | Lecture 8 | Fibonacci Numbers and the Golden Ratio

Explanation of the Fibonacci bamboozlement. The Fibonacci bamboozlement is a dissection fallacy where the rearrangement of pieces in a square can be used to construct a rectangle with one unit of area larger or smaller than that of the square. The square and rectangle have side lengths gi

From playlist Fibonacci Numbers and the Golden Ratio

Video thumbnail

a very Fibonacci product!

We derive a nice infinite product involving Fibonacci numbers. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Research Gate profile: https://www.

From playlist Identities involving Fibonacci numbers

Video thumbnail

Fibonacci numbers and the golden ratio | Lecture 4 | Fibonacci Numbers and the Golden Ratio

Relationship between the Fibonacci numbers and the golden ratio. The ratio of consecutive Fibonacci numbers approaches the golden ratio. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: h

From playlist Fibonacci Numbers and the Golden Ratio

Video thumbnail

Fibonacci Factorial & the Most Unknown Mathematical Constant [ PyMath #5 ]

Still looking for the perfect Christmas present? :) Why not try out Brilliant this year? =D https://brilliant.org/FlammableMaths Damn, STEMweek is lit this weeks! :0 https://stemerch.com/collections/nonlinear-dynamics-chaos PyMath Playlist: https://www.youtube.com/playlist?list=PLN2B6ZNu6x

From playlist Number Theory

Video thumbnail

Sum of Fibonacci Numbers.

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://papaflammy.myteespring.co/ https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https://www.youtub

From playlist Number Theory

Related pages

Series (mathematics) | Golden ratio | Mathematics | Factorial | Fibonomial coefficient | Asymptote | Empty product