From: Asymptotic behavior of reciprocal sum of two products of Fibonacci numbers
n | \((\sum^{\infty}_{k=n}\frac{1}{f_{k}^{2}} )^{-1}\) | \(f_{n}^{2}-f_{n-1}^{2}\) | n | \((\sum^{\infty}_{k=n}\frac{1}{f_{k}^{2}} )^{-1}\) | \(f_{n}^{2}-f_{n-1}^{2}\) |
---|---|---|---|---|---|
3 | 2.3456… | 3 | 4 | 5.6714… | 5 |
5 | 15.3351… | 16 | 6 | 39.6673… | 39 |
7 | 104.3335… | 105 | 8 | 272.6667… | 272 |
9 | 714.3333… | 715 | 10 | 1869.6666… | 1869 |