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 A316275 Lucas analog to A101361. 0
 2, 3, 3, 7, 18, 123, 2207, 271443, 599074578, 162614600673847, 97418273275323406890123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 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. LINKS René Gy, Sequence in which adding 2 produces a square, Math StackExchange. FORMULA a(n) = A000032(2*A000045(n)) or a(n) = Lucas(2*Fibonacci(n)). MATHEMATICA Table[LucasL[2 Fibonacci[n]], {n, 0, 10}] CROSSREFS Cf. A101361. Sequence in context: A121875 A036251 A176022 * A113031 A127582 A157144 Adjacent sequences:  A316272 A316273 A316274 * A316276 A316277 A316278 KEYWORD nonn AUTHOR René Gy, Nov 23 2018 STATUS approved

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Last modified June 25 17:47 EDT 2019. Contains 324353 sequences. (Running on oeis4.)