Fibonacci

Mitch Harris Harris.Mitchell at mgh.harvard.edu
Thu Oct 19 23:14:04 CEST 2006


From: Ignacio Larrosa Cañestro [mailto:ilarrosa at mundo-r.com]
Sent: Tuesday, October 17, 2006 2:59 PM

> Emeric Deutsch <deutsch at duke.poly.edu> escribió:
> 
> > fibonacci(n)=Product(1 + 4[cos(j*Pi/n)]^2,  j=1..ceil(n/2)-1)
> 
>   P(m) = prod_(k=1)^m (1 + 4 cos(k pi/(2m))^2) =
> 
>        = prod_(k=1)^m (3 + 2 cos(k pi/m)) =

Has anybody found any other infinite product formulas known for 
Fibonacci and similar recurrences?

(this last one is on Ron Knott's Fibonacci page

 
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibFormulae.html

under "Other formulae")


Mitch







More information about the SeqFan mailing list