在本文中,我们主要研究了Jacobsthal—Lucas数的性质,证明了两个关于Jacobsthal—Lucas数的倒数和的恒等式.这两个恒等式揭示了与Jacobsthal—Lucas数相关的某些无穷倒数和之倒数的整数部分与数列本身某些项的联系.
In this paper, we investigate the properties of the sums of reciprocal Jacobsthal-Lucas num- bers. We find two identities on the sums of reciprocal Jacobsthal-Lucas numbers which reveal relation ships between the integer parts of some infinite sums involving reciprocal Jacobsthal-Lucas numbers and some terms of Jacobsthal-Lucas numbers.