Sequence

Above: what does that have to do with the golden ratio, though?
Hm..

Well, it partly works.
Fib(n) may be defined as fib (n - 1) + fib (n - 2). However, for any n which is not a positive integer, it is defined as 0, and for 1, it is defined as 1.

for f(1) = 1, then f(n) = (n-2)^(n-2) + n^n