Search: id:A059793
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%I A059793
%S A059793 2,4,8,12,20,28,32,40,48,52,72,80,108,112,132,148,168,180,188,220,232,
%T A059793 240,248,252,260,268,292,300,312,320,340,352,360,368,408,412,420,448,
%U A059793 460,472,480,500,512,520,528,540,560,568,600,612,628,652,680,700,768
%N A059793 Stationary value of quotient in the continued fraction expansion of sqrt(prime) 
               when the quotient-cycle-length = 1.
%H A059793 R. Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               cfINTRO.html">An Introduction to Continued Fractions</a>
%F A059793 a(n)=2*A005574(n) For n=Sqrt(p) the transient is n, the stationary quotient 
               is 2n.
%e A059793 cfrac(sqrt(577),5); 24+1/(48+1/(48+1/(48+1/(48+1/(48+`...`))))) thus 
               a(9)=48=2*A005574(9)
%Y A059793 Cf. A005574, A002496.
%Y A059793 Sequence in context: A049696 A127405 A136034 this_sequence A118029 A049322 
               A014557
%Y A059793 Adjacent sequences: A059790 A059791 A059792 this_sequence A059794 A059795 
               A059796
%K A059793 nonn
%O A059793 0,1
%A A059793 Labos E. (labos(AT)ana.sote.hu), Feb 22 2001

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