%I
%S 0,2,1,6,1,3,32,18,3,8,1,2,2,2,8,5,2,1,3,2,1,14,2,1,2,190,1,2,9,1,1,1,
%T 2,4,1,1,2,5,1,1,1,1,2,2,3,1,30,1,1,5,4,6,1,3,8,3,4,6,3,1,1,1,1,7,1,
%U 68,20,1,3,1,2,1,1,2,1,15,2,2,4,2,1,2,23,7
%N Continued fraction for 2^(1/4)  2^(1/4), the ordinate of the point of bisection of the arc of the unit lemniscate (x^2 + y^2)^2 = x^2  y^2 in the first quadrant.
%e 2^{1/4}  2^{1/4} = 0.348310699749006523686374494327... = [0; 2, 1, 6, 1, 3, 32, 18, 3, 8, 1, 2, 2, ...].
%t nmax = 1000; ContinuedFraction[ 2^(1/4)  2^(1/4), nmax + 1]
%Y Cf. A154743, A154745 and A154746 for the decimal expansion and the numerators and denominators of the convergents.
%K nonn,cofr,easy
%O 0,2
%A _Stuart Clary_, Jan 14 2009
