The beauty of generating functions. Why this fraction gives Fibonacci sequence ?
I introduce generating functions and use it to solve a combinatorial function. We see why a fraction 1\9899 produces so many terms of the Fibonacci sequence !
I suggest reading "Invitation to Discrete Mathematics" by Jirˇ ́ı Matouˇsek and Jaroslav Neˇsetrˇil to learn more about generating functions.
#Fibonacci
#Generatingfunctions
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