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A014729 Squares of even Fibonacci numbers. +0
1
0, 4, 64, 1156, 20736, 372100, 6677056, 119814916, 2149991424, 38580030724, 692290561600, 12422650078084, 222915410843904, 4000054745112196, 71778070001175616, 1288005205276048900, 23112315624967704576 (list; graph; listen)
OFFSET

0,2

FORMULA

(1/5)[Fibonacci(6n+3) - 2*Fibonacci(6n) - 2*(-1)^n]. G.f.: 4(-x^2+x)/[(1+x)(1-18x+x^2)]. - R. Stephan, May 14 2004

PROGRAM

(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]

CROSSREFS

Sequence in context: A139292 A152923 A085807 this_sequence A085532 A146341 A091483

Adjacent sequences: A014726 A014727 A014728 this_sequence A014730 A014731 A014732

KEYWORD

nonn

AUTHOR

Mohammad K. Azarian (ma3(AT)evansville.edu)

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu)

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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