%I A071579
%S A071579 1,4,56,10864,408855776,579069776145402304,
%T A071579 1161588808526051807570761628582646656,
%U A071579 4674072680304961790168962360144614650442718636276775741658113370728376064
%N A071579 a(n) = 2*a(n-1)*A002812(n-1)
%C A071579 Contribution from Cino Hilliard (hillcino368(AT)hotmail.com), Sep 28 
               2008: (Start)
%C A071579 Also the denominators of the convergents to sqrt(3) using Newton's recursion
%C A071579 x = (3/x+x)/2. (End)
%H A071579 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               NewtonsIteration.html">Newton's Iteration</a>
%F A071579 a(n) = 2*a(n-1)*(6*a(n-2)^2+1) - Max Alekseyev (maxale(AT)gmail.com), 
               Apr 19 2006
%o A071579 Contribution from Cino Hilliard (hillcino368(AT)hotmail.com), Sep 28 
               2008: (Start)
%o A071579 (PARI) g(n,p) = x=1;for(j=1,p,x=(n/x+x)/2;print1(denominator(x)","))
%o A071579 g(3,8) (End)
%Y A071579 Cf. A002812. a(n) = A001353(2^n).
%Y A071579 Sequence in context: A056075 A000315 A080984 this_sequence A060497 A092273 
               A156873
%Y A071579 Adjacent sequences: A071576 A071577 A071578 this_sequence A071580 A071581 
               A071582
%K A071579 nonn
%O A071579 0,2
%A A071579 Joe Keane (jgk(AT)jgk.org), May 31 2002