Two announcements

I did two amazing things yesterday. First, I found a general formula for every fibonacci-like series in which each term is the sum of the two previous terms, given the two initial terms.

The Fibonacci sequence occurs when A0 = 0 and A1 = 1. The Lucas numbers occur when A0 = 2 and A1 = 1. I'm sure someone else has found this formula, but I haven't seen it on the internet. It was a pretty easy generalization to make, after seeing the Fibonacci series done in Elliptic Tales, and then doing the Lucas numbers as a trial run. Learn more about these series here.

Second I did this word search.

I am very proud.