%I
%S 2,3,3,7,18,123,2207,271443,599074578,162614600673847,
%T 97418273275323406890123
%N Lucas analog to A101361.
%C This is the sequence defined by the thirdorder nonlinear recurrence a(n+1) = a(n)*a(n1)  a(n2) and a(0)=2, a(1)=3, a(2)=3.
%H RenĂ© Gy, <a href="https://math.stackexchange.com/a/3007124/130022">Sequence in which adding 2 produces a square</a>, Math StackExchange.
%F a(n) = A000032(2*A000045(n)) or a(n) = Lucas(2*Fibonacci(n)).
%t Table[LucasL[2 Fibonacci[n]], {n, 0, 10}]
%Y Cf. A101361.
%K nonn
%O 0,1
%A _RenĂ© Gy_, Nov 23 2018
