Search: id:A010342
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%I A010342
%S A010342 3,7,8,13,15,24,32,35,48,58,63,74,75,80,99,120,135,136,143,168,
%T A010342 185,195,215,224,255,288,312,323,346,360,399,425,427,440,483,528,
%U A010342 557,560,575,624,675,711,728,783,818,819,840,880,899,960
%N A010342 Numbers n such that all terms in period of continued fraction for sqrt(n) 
               except final term are 1.
%F A010342 sqrt(a)=[q;(1,1,..,1,2q),..]=sqrt(q^2+b); 2q-1=(2m-1)*F(n+1), b-1=(2m-1)*F(n), 
               m=1,2,3,.. n=1,3,4,6,7,9,10,12,13,.. F(n+1)odd numbers F(1)=1,F(2)=1,
               F(n+1)=F(n)+F(n-1), (F):1,1,2,3,5,8,13,21,34,55,89,.. Fibonacci sequence 
               - Tom Ordowski (ordo(AT)vp.pl), Jan 06 2007
%Y A010342 Sequence in context: A153219 A050014 A132017 this_sequence A108873 A002312 
               A106474
%Y A010342 Adjacent sequences: A010339 A010340 A010341 this_sequence A010343 A010344 
               A010345
%K A010342 nonn
%O A010342 1,1
%A A010342 N. J. A. Sloane (njas(AT)research.att.com), Walter Gilbert

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