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keisanHigh-precision calculations for everyday life and work

Fibonacci Function (Graph)

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The Fibonacci function—which extends the indices of the Fibonacci sequence to real numbers—is calculated in a table and displayed as a graph.
Initial value of the ordinal ν
Real numbers
]
\(\normalsize Fibonacci\ number\ F_\nu\\ (1)\ F_\nu={\large\frac{1}{\sqrt5}}\left({\large(\frac{1+\sqrt5}{2})}^\nu-{\large(\frac{2}{1+\sqrt5})}^\nu \cos(\nu\pi)\right)\\ \hspace{180px}\nu:real\ number\\\)

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Fibonacci Function (Graph) | Keisan