Let \(\{w_n\}\) be a second-order recurrent sequence. Several identities about the sums of products of second-order recurrent sequences were obtained and the relationship between the second-order recurrent sequences and the recurrence coefficient revealed. Some identities about Lucas sequences, Lucas numbers, and Fibonacci numbers were also obtained.
Citation
Hong Hu. Several Identities Involving Second-order Recurrent Sequences[J], Ars Combinatoria, Volume 094. 381-389. .