Negafibonacci numbers?

Number Theory Level 2

The Fibonacci numbers are given by

  • F(0)=0F(0) = 0
  • F(1)=1F(1) = 1
  • F(n)=F(n−1)+F(n−2).F(n) = F(n-1) + F(n-2).

So, the first few are 0,1,1,2,3,5,8,13.0, 1, 1, 2, 3, 5, 8, 13.

If we generalize this to negative numbers, what is F(−8)?F(-8)?

Geoff Pilling by Geoff Pilling
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