The Formulas

The Golden Ratio

1+sqrt(5)/2


Fibonacci Sequence

But you have to know the previous number!

F(1) = 1

F (2)= 1

F (n) = F (n-1) + F (n-2) for n > 2


And for those not faint of heart

F(n) =(a^n - b^ n)/a-b
Where a and b are the roots of the quadratic equation
x^2-x-1=0

Or maybe this one?

F(n)= Phin - (-Phi)-n/sqrt 5
Where Phi has the value 1.618...


The History Page

Natural Fibonacci

Playing with the Numbers

Fibonacci Goes Gold

Aesthetically Pleasing Fibonacci? (Previous Page)

Bibliography and some great Fibonacci links. (Next)