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摘要
We consider for integers k >= 2 the k-generalized Fibonacci sequences F-(k) := (F-n((k)))(n >= 2-k), whose first k terms are 0, ..., 0, 1 and each term afterwards is the sum of the preceding k terms. In this paper, we show that there does not exist a quadruple of positive integers a1 < a2 < a3 < a4 such that a(i)a(j) + 1 (i not equal j) are all members of F-(k).
- 出版日期2018-8
