a(n) = Sum_{0<=i<j<=n}L(i)*L(j), where L(k)=A000032(k) is the k-th Lucas number.

Terms

a(0) =0a(1) =2a(2) =11a(3) =35a(4) =105a(5) =292a(6) =796a(7) =2130a(8) =5655a(9) =14927a(10) =39281a(11) =103160a(12) =270600a(13) =709282a(14) =1858291a(15) =4867275a(16) =12746265a(17) =33375932a(18) =87388676a(19) =228801650a(20) =599034975a(21) =1568333527a(22) =4106014561a(23) =10749789360a(24) =28143481680a(25) =73680863042a(26) =192899442971a(27) =505018008755