Search: id:A081012
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%I A081012
%S A081012 3,32,231,1595,10944,75023,514227,3524576,24157815,165580139,1134903168,
%T A081012 7778742047,53316291171,365435296160,2504730781959,17167680177563,
%U A081012 117669030460992,806515533049391,5527939700884755,37889062373143904
%N A081012 Fibonacci(4n+1)-2, or Fibonacci(2n+2)*Lucas(2n-1).
%D A081012 Hugh C. Williams, Edouard Lucas and Primality Testing, John Wiley and 
               Sons, 1998, p. 75
%F A081012 a(n) = 8a(n-1)-8a(n-2)+a(n-3)
%F A081012 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 (ppl(AT)spl.at), Dec 01 2008]
%p A081012 with(combinat) for n from 0 to 25 do printf(`%d,`,fibonacci(4*n+1)-2) 
               od
%Y A081012 Cf. A000045 (Fibonacci numbers), A000032 (Lucas numbers).
%Y A081012 Sequence in context: A004256 A002059 A028447 this_sequence A035533 A029502 
               A037792
%Y A081012 Adjacent sequences: A081009 A081010 A081011 this_sequence A081013 A081014 
               A081015
%K A081012 nonn,easy
%O A081012 1,1
%A A081012 R. K. Guy (rkg(AT)cpsc.ucalgary.ca), Mar 01, 2003
%E A081012 More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), 
               Mar 03, 2003

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