A Fibonacci Sequence Mystery?!?!?

When you cube a Fibonacci number, it turns out the result is a sum of Fibonacci numbers with some coefficients. How can we solve this Fibonacci mystery? Binet's Formula for the Fibonacci numbers will help. In the video we also highlight the Fibonacci Quarterly, a journal that publishes a bunch of Fibonacci related problems and research results.

#FibonacciNumbers #GoldenRatio #FibonacciSequence

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[yaseengarehmohammadlou]

Interesting and useful as always.thanks a lot ProfOmar

[deepjyoti]

I wish that i get personal teacher like u

[ForsakenPrayers]

Hey ProfOmar. I'm looking to start training for the Putnam exam. However I have never done any contest math before. Do you know what textbook/resource would be a good starting point for me? My mathematical maturity is not high (some discrete math, some calculus, and a bit of real analysis).

[aashsyed]

Can u give the link to ur video about exponential generating functions plz?

[yoav]

I tried the even powers and what i get is:the sum from j=0 to k of 5^(-k) (2k

[Blabla]

Hold on, something has gone wrong: The RHS of the very last formula in your presentation no longer depends on n while the LHS does. That would imply F(n) is independent of n which is of course not true.

[aashsyed]

So stop ed making new videos bc of Ramadan Ramadan mubarak to you!