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On reciprocal sums of terms of linear recurrences. (English) Zbl 0776.11032
The authors prove an irrationality result for the sum of the infinite series whose terms are reciprocals of a recurrent generated sequence of order $$k$$, greater than one and two results for the case $$k=2$$. Other related results were proved recently by the reviewer [Acta Arith. 63, 313-323 (1993; Zbl 0770.11036)] and by W. L. McDaniel in a paper to appear in Fibonacci Q.