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Table 2 Some values of \((\sum^{\infty}_{k=n}\frac{1}{f_{k}f_{k+4}})^{-1}\)

From: Asymptotic behavior of reciprocal sum of two products of Fibonacci numbers

n

\((\sum^{\infty}_{k=n}\frac {1}{f_{k}f_{k+4}} )^{-1}\)

\(g_{n,2}\)

n

\((\sum^{\infty}_{k=n}\frac {1}{f_{k}f_{k+4}} )^{-1}\)

\(g_{n,2}\)

3

15.6521…

15.6666

4

39.3277…

39.3333

5

104.6645…

104.6666

6

272.3325…

272.3333

7

714.6663…

714.6666

8

1869.3332…

1869.3333

9

4895.6666…

4895.6666

10

12,815.3333…

12,815.3333