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A316275 Lucas analog to A101361. 0

%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 third-order non-linear recurrence a(n+1) = a(n)*a(n-1) - a(n-2) and a(0)=2, a(1)=3, a(2)=3.

%H René 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 _René Gy_, Nov 23 2018

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Last modified July 20 05:43 EDT 2019. Contains 325168 sequences. (Running on oeis4.)