Some results on the infinite sums of reciprocal generalized Fibonacci numbers

Younseok Choo
2018 International Journal of Mathematical Analysis  
In this paper, we derive some identities related to the reciprocal sums of generalized Fibonacci numbers. The results obtained here not only are meaningful in its own right but also provide unified formulae for the reciprocal sums of even-indexed and odd-indexed Fibonacci, Lucas, Pell and Pell-Lucas numbers.
doi:10.12988/ijma.2018.81178 fatcat:4oxveee4ffd3nho7hpyfnqhyia