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 A154744 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. 3

%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

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Last modified May 28 04:36 EDT 2020. Contains 334671 sequences. (Running on oeis4.)