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 A014731 Squares of even Lucas numbers. 1
 4, 16, 324, 5776, 103684, 1860496, 33385284, 599074576, 10749957124, 192900153616, 3461452808004, 62113250390416, 1114577054219524, 20000273725560976, 358890350005878084, 6440026026380244496, 115561578124838522884, 2073668380220713167376 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Colin Barker, Table of n, a(n) for n = 0..700 Index entries for linear recurrences with constant coefficients, signature (17,17,-1). FORMULA a(n) = Fibonacci(6*n+3) - 2*Fibonacci(6*n) + 2*(-1)^n. - Ralf Stephan, May 14 2004 G.f.: 4*(-4*x^2-13*x+1)/((1+x)*(1-18*x+x^2)). - Ralf Stephan, May 14 2004 From Colin Barker, Mar 04 2016: (Start) a(n) = 2*(-1)^n+(9+4*sqrt(5))^(-n)+(9+4*sqrt(5))^n. a(n) = 17*a(n-1)+17*a(n-2)-a(n-3) for n>2. (End) a(n) = A014448(n)^2. - Sean A. Irvine, Nov 18 2018 MATHEMATICA (Table[LucasL@ n, {n, 0, 52}] /. n_ /; OddQ@ n -> Nothing)^2 (* Michael De Vlieger, Mar 04 2016 *) PROG (PARI) Vec(4*(1-13*x-4*x^2)/((1+x)*(1-18*x+x^2)) + O(x^20)) \\ Colin Barker, Mar 04 2016 CROSSREFS Cf. A014448. Sequence in context: A203105 A273474 A095956 * A023114 A207851 A202681 Adjacent sequences:  A014728 A014729 A014730 * A014732 A014733 A014734 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Erich Friedman. STATUS approved

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Last modified May 20 20:16 EDT 2019. Contains 323426 sequences. (Running on oeis4.)