More on the infinite sum of reciprocal Fibonacci, Pell and higher order recurrences

摘要

Recently [Z. Wenpeng, W. Tingting, Applied Mathematics and Computation 218 (10) (2012) 6164–6167; T. Komatsu, V. Laohakosol, Journal of Integer Sequences 13 (5) (2010) Article 10.5.8.] computed partial infinite sums including reciprocal usual Fibonacci, Pell and generalized order-k Fibonacci numbers. In this paper we will present generalizations of earlier results by considering more generalized higher order recursive sequences with additional one coefficient parameter.