Search: id:A114695
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%I A114695
%S A114695 2,2,4,104,143,169,4895,6764,7921,229970,317810,372100,10803704,
%T A114695 14930351,17480761,507544127,701408732,821223649,23843770274,
%U A114695 32951280098,38580030724,1120149658760,1548008755919,1812440220361
%N A114695 Three consecutive elements of the sequence built from a quadratic form 
               over four consecutive Fibonacci numbers A000045.
%F A114695 a(3*n) = (Fibonacci(4n) + Fibonacci(4n+1) )*Fibonacci(4n+3).
%F A114695 a(3n+1) = (Fibonacci(4n) + Fibonacci(4n+2) )*Fibonacci(4*n+3).
%F A114695 a(3n+2) = (Fibonacci(4n+1) + Fibonacci(4n+2) )*Fibonacci(4n+3).
%F A114695 a(3n)=A001654(4n+2). a(3n+1)= A128535(4n+3). a(3n+2)= A007598(4n+3). 
               G.f.: -(2+2*x+4*x^2+8*x^3+47*x^4-23*x^5-x^6-4*x^7+x^8)/((x-1)*(1+x+x^2)*(x^6-47*x^3+1)). 
               a(n)=48*a(n-3)-48*a(n-6)+a(n-9). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Apr 16 2009]
%t A114695 F[0] = 0; F[1] = 1; F[n_] := F[n] = F[n - 1] + F[n - 2] a = Flatten[Table[{(F[4*n] 
               + F[4*n + 1])*F[4*n + 3], (F[4*n] + F[4*n + 2])*F[4*n + 3], (F[4*n 
               + 1] + F[4*n + 2])*F[4*n + 3]}, {n, 0, 12}]]
%Y A114695 Cf. A000045.
%Y A114695 Sequence in context: A050923 A067700 A037010 this_sequence A134084 A100247 
               A011342
%Y A114695 Adjacent sequences: A114692 A114693 A114694 this_sequence A114696 A114697 
               A114698
%K A114695 nonn,less
%O A114695 0,1
%A A114695 Roger Bagula (rlbagulatftn(AT)yahoo.com), Feb 21 2006
%E A114695 Edited by the Associate Editors of the OEIS, Sep 02 2009

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