Search: id:A074935
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%I A074935
%S A074935 1,1,2,2,3,24,200,6675,3045936,46360115600,251445391554623475,
%T A074935 23318100352452485482468409184
%N A074935 Denominator of a(n), where for n > 2, a(n)=-1/a(n-1)+1/a(n-2), a(1)=1, 
               a(2)=2.
%C A074935 a(n)->-(-1)^n sqrt(2), a slowly converging sequence. In general, for 
               recursive sequence: a(n)=Sum[i=1,...,k<n,c(i)/a(i)], asymptotic solution 
               is: a(n)-> +/- Sqrt[Sum[i=1,..,k,abs[c(i)]]], independently on initial 
               a(i).
%F A074935 a(n>2)=-1/a(n-1)+1/a(n-2), a(1)=1, a(2)=2, a(n)->-(-1)^n sqrt(2).
%e A074935 a(3)=-1/a(2)+1/a(1)=-1/2+1=1/2, therefore in the sequence, 3rd term is 
               2.
%Y A074935 Cf. A076655.
%Y A074935 Sequence in context: A084745 A036503 A109590 this_sequence A078239 A083113 
               A027498
%Y A074935 Adjacent sequences: A074932 A074933 A074934 this_sequence A074936 A074937 
               A074938
%K A074935 nonn,frac
%O A074935 1,3
%A A074935 Zak Seidov (zakseidov(AT)yahoo.com), Oct 24 2002

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