%I A059866
%S A059866 2,4,2,8,2,12,2,20,2,12,2,164,2,40,2,40,2,1208,2,660,2,1304,2,3056,2,
%T A059866 2492,2,1080,2,13004,2,10232,2,11296,2,148736,2,56576,2,615482,2,44448,
%U A059866 2,64,2,2628524,2,28219952,2,139558,2,3067080,2,2683626,2
%N A059866 Quotient cycle length in continued fraction expansion of sqrt[2^n-1].
%e A059866 For n=7 and n=8 the quotient periods are: [[11], [3, 1, 2, 2, 7, 11, 
               7, 2, 2, 1, 3, 22]] and [[15], [1, 30]] with period lengths 12 and 
               2 respectively.
%p A059866 ith(numtheory): [seq(nops(cfrac(sqrt(2^k-1),'periodic','quotients')[2]),
               k=2..30)];
%Y A059866 Sequence in context: A094756 A110925 A073017 this_sequence A093895 A030057 
               A134066
%Y A059866 Adjacent sequences: A059863 A059864 A059865 this_sequence A059867 A059868 
               A059869
%K A059866 nonn
%O A059866 2,1
%A A059866 Labos E. (labos(AT)ana.sote.hu), Feb 28 2001
%E A059866 Corrected and extended by Naohiro Nomoto (n_nomoto(AT)yabumi.com), Nov 
               09 2001