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A081072
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Fibonacci(4n) + 3, or Fibonacci(2n+2)*Lucas(2n-2).
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0
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3, 6, 24, 147, 990, 6768, 46371, 317814, 2178312, 14930355, 102334158, 701408736, 4807526979, 32951280102, 225851433720, 1548008755923, 10610209857726, 72723460248144, 498454011879267, 3416454622906710, 23416728348467688
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| Hugh C. Williams, Edouard Lucas and Primality Testing, John Wiley and Sons, 1998, p. 75
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (8,-8,1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 03 2010]
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FORMULA
| a(n) = 8a(n-1)-8a(n-2)+a(n-3)
a(n)=3+(1/5)*sqrt(5)*{[(7/2)+(3/2)*sqrt(5)]^n-[(7/2)-(3/2)*sqrt(5)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Dec 01 2008]
G.f.: ( -3+18*x ) / ( (x-1)*(x^2-7*x+1) ). a(n) = 3+A033888(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 03 2010]
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MAPLE
| with(combinat): for n from 0 to 40 do printf(`%d, `, fibonacci(4*n)+3) od:
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PROG
| (MAGMA) [Fibonacci(4*n)+3: n in [0..50]]; // Vincenzo Librandi, Apr 20 2011
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CROSSREFS
| Cf. A000045 (Fibonacci numbers).
Sequence in context: A132390 A152761 A109155 * A000717 A076020 A018964
Adjacent sequences: A081069 A081070 A081071 * A081073 A081074 A081075
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KEYWORD
| nonn,easy
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AUTHOR
| R. K. Guy (rkg(AT)cpsc.ucalgary.ca), Mar 04, 2003
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EXTENSIONS
| More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), Mar 05, 2003
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