摘要：A Fibonacci 3-subsequence is a subsequence of the type F n , F n + 3 , F n + 6 , … $F_{n},F_{n+3},F_{n+6},\ldots$ , where F k $F_{k}$ denotes the kth Fibonacci number. In this article, we investigate the reciprocal sums of the Fibonacci 3-subsequences and obtain several interesting families of identities involving the Fibonacci numbers.
关键词：Fibonacci 3-subsequence ; reciprocal sum ; floor function
