Generalized Fibonacci Numbers and Blackwell's Renewal Theorem
arXiv:1012.5006 · doi:10.1016/j.spl.2012.05.003
Abstract
We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell's renewal theorem we find an approximation to the generalized Fibonacci numbers. With the help of error estimates in the renewal theorem we figure out an explicit representation.