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A081012
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Fibonacci(4n+1)-2, or Fibonacci(2n+2)*Lucas(2n-1).
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0
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3, 32, 231, 1595, 10944, 75023, 514227, 3524576, 24157815, 165580139, 1134903168, 7778742047, 53316291171, 365435296160, 2504730781959, 17167680177563, 117669030460992, 806515533049391, 5527939700884755, 37889062373143904
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Hugh C. Williams, Edouard Lucas and Primality Testing, John Wiley and Sons, 1998, p. 75
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FORMULA
| a(n) = 8a(n-1)-8a(n-2)+a(n-3)
a(n)=-2+(5/2)*{[(7/2)-(3/2)*sqrt(5)]^n+[(7/2)+(3/2)*sqrt(5)]^n+(11/10)*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]
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MAPLE
| with(combinat) for n from 0 to 25 do printf(`%d, `, fibonacci(4*n+1)-2) od
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PROG
| (MAGMA) [Fibonacci(4*n+1)-2: n in [1..50]]; Vincenzo Librandi, Apr 20 2011
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CROSSREFS
| Cf. A000045 (Fibonacci numbers), A000032 (Lucas numbers).
Sequence in context: A183457 A002059 A028447 * A187919 A198320 A035533
Adjacent sequences: A081009 A081010 A081011 * A081013 A081014 A081015
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KEYWORD
| nonn,easy
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AUTHOR
| R. K. Guy (rkg(AT)cpsc.ucalgary.ca), Mar 01, 2003
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EXTENSIONS
| More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), Mar 03, 2003
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