Software Applications Programming Errors and solutions.

Fibonacci numbers in pascal's triangle? The Proof follows from the following identity: Let F(r) be the r-Th Fibonacci number, C(n,r) be the number of combination of n things taken are at a time and [x] be the greatest integer function then Summation C(n-k, k) = F(n+1) where k goes form k=0 to k = [n/2] Now use induction on the variable n.