On the reciprocal sums of higher-order sequences
نویسندگان
چکیده
where the Fn and Ln denote the Fibonacci numbers and Lucas numbers, have been considered in several different ways. Navas [] discussed the analytic continuation of these series. Elsner et al. [] obtained that for any positive distinct integer s, s, s, the numbers ζF (s), ζF (s), and ζF (s) are algebraically independent if and only if at least one of s, s, s is even. Ohtsuka and Nakamura [] studied the partial infinite sums of reciprocal Fibonacci numbers and proved the following conclusions: ⌊( ∞ ∑
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