prove-that-n-1-tan-1-1-F-n-tan-1-1-F-n-1-pi-2-8-Fibonacci-numbers-

Question Number 158322 by mnjuly1970 last updated on 02/Nov/21

p r o v e t h a t :

\underset{n = 1}{\sum^{\infty}} {t a n}^{- 1} (\frac{1}{F_{n}}) . {t a n}^{- 1} (\frac{1}{F_{n + 1}}) = \frac{π^{2}}{8}

F i b o n a c c i n u m b e r s