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A014729
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Squares of even Fibonacci numbers.
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0
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0, 4, 64, 1156, 20736, 372100, 6677056, 119814916, 2149991424, 38580030724, 692290561600, 12422650078084, 222915410843904, 4000054745112196, 71778070001175616, 1288005205276048900, 23112315624967704576
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| (1/5)[Fibonacci(6*n+3) - 2*Fibonacci(6*n) - 2*(-1)^n]. G.f.: 4*(-x^2+x)/[(1+x)*(1-18*x+x^2)]. - R. Stephan, May 14 2004
a(n)= Fib(3*n)^2
a(n)=(-1)^(n+1)*(Fib(n)*Fib(7*n)-Fib(4*n)^2)
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PROG
| (Mupad) numlib::fibonacci(3*n)^2 $ n = 0..25; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 09 2008
(Other) sage: [(fibonacci(3*n))^2 for n in xrange(0, 17)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 15 2009]
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CROSSREFS
| Sequence in context: A139292 A152923 A085807 * A085532 A146341 A091483
Adjacent sequences: A014726 A014727 A014728 * A014730 A014731 A014732
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KEYWORD
| nonn
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AUTHOR
| Mohammad K. Azarian (ma3(AT)evansville.edu)
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu)
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