Fibonacci numbers as sum of binomial coefficients
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Fibonacci numbers as sum of binomial coefficients
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Re: Fibonacci numbers as sum of binomial coefficients
#2My father independently discovers that Fibonacci numbers can be calculated with sum of binomial coefficients. I went online and find that it was already discovered in 19th century by Édouard Lucas :)
His discovery is just as original as Lucas's.
Re: Fibonacci numbers as sum of binomial coefficients
#3If you want to look deeper into this, check out this paper (PDF warning) https://ir.library.oregonstate.edu/downloads/t435gg51w
Examples are given in Common Lisp at the end, which at least for me, is infinitely easier to read than mathematical notation.