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  1. or download this
    F(n) = F(i+j) = F(i-1)*F(j) + F(i)*F(j+1)
  2. or download this
    j = k**2 = int(sqrt(n))
i = n - j
F(n) = F(i+j) = F(i+k**2)
  3. or download this
    F(k**2) = (F(k-1)+F(k+1))*F(k*(k-1)) 
          - ((-1)**k)*F(k*(k-2))