Search: id:A113500
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%I A113500
%S A113500 32,3042,375131,46137317,5674515856,697919312217,85838400887831,
%T A113500 10557425389890242,1298477484555612931,159702173174950499517,
%U A113500 19642068823034355828656,2415814763060050816424417
%N A113500 Maximum element in the continued fraction for F(5n+3)^5/F(5n+2)^5 where 
               F=A000045.
%D A113500 B. Cloitre, On rational sequences yielding continued fractions with unbounded 
               coefficients, in preparation
%F A113500 n>0 a(n)=2*L(10*n+4)+L(10*n+5)+(-1)^n*7-1 where L(k) denotes the k-th 
               Lucas number L(k)=F(k-1)+F(k+1)
%o A113500 (PARI) a(n)=vecmax(contfrac(fibonacci(5*n+3)^5/fibonacci(5*n+2)^5))
%Y A113500 Sequence in context: A077143 A111923 A136246 this_sequence A064018 A067321 
               A104652
%Y A113500 Adjacent sequences: A113497 A113498 A113499 this_sequence A113501 A113502 
               A113503
%K A113500 nonn
%O A113500 0,1
%A A113500 Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 10 2006

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