Fibonacci Rabbits with life span 2.999

Fibonacci Rabbits with life span 2.999

I need the recurrence relation for Fabonacci with Life Span = 2.999
I think it will be
f(n) = 1 where n%2 = 0 & n > 2 and f(n) = 2 where n%2 = 1 $ n > 2
Thanks