#hyperbolic sine

[peeterjoot]

Hyperbolic sine representation of mth Fibonacci number

[Click here for a PDF version of this post] I saw a funky looking formula for the mth Fibonacci number on twitter \begin{equation}\label{eqn:fibonacci_sinh:20} F_m = \frac{2}{\sqrt{5} i^m} \sinh\lr{ m \ln\lr{i\phi} }, \end{equation} where \begin{equation}\label{eqn:fibonacci_sinh:60} \phi = \frac{ 1 + \sqrt{5} }{2}, \end{equation} is the golden ratio. This certainly doesn’t look like it’s a…

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[notthemighty-blog]

When you're life has come to arguing with your classmates about how exactly you pronounce "sinh".