9 Jan
2003
9 Jan
'03
1:45 p.m.
At 05:50 PM 1/8/03 -0500, asimovd@aol.com wrote:
Just for fun, find
f(z) = sum from k = 0 to oo of (F_n z^n),
and its radius of convergence
where F_n is the nth Fibonacci number (F_0 = 0, F_1 = 1,...).
This problem is exactly what turned me on to generating functions when I was in high school. Just a little more work yields the formula for F_n. -A