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A081008
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Fibonacci(4n+2)-1, or Fibonacci(2n)*Lucas(2n+2).
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1
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0, 7, 54, 376, 2583, 17710, 121392, 832039, 5702886, 39088168, 267914295, 1836311902, 12586269024, 86267571271, 591286729878, 4052739537880, 27777890035287, 190392490709134, 1304969544928656, 8944394323791463, 61305790721611590, 420196140727489672
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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
| Nathaniel Johnston, Table of n, a(n) for n = 0..500
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FORMULA
| a(n) = 8a(n-1)-8a(n-2)+a(n-3)
a(n)=-1+(1/2)*{[(7/2)-(3/2)*sqrt(5)]^n+[(7/2)+(3/2)*sqrt(5)]^n}+(3/10)*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+2)-1) od
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PROG
| (MAGMA) [Fibonacci(4*n+2)-1: n in [0..100]]; // Vincenzo Librandi, Apr 15 2011
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CROSSREFS
| Cf. A000045 (Fibonacci numbers), A000032 (Lucas numbers).
Sequence in context: A116202 A203289 A204258 * A116472 A015562 A152108
Adjacent sequences: A081005 A081006 A081007 * A081009 A081010 A081011
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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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