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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

Table of n, a(n) for n=0..10.

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.)