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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
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, 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, 68, 20, 1, 3, 1, 2, 1, 1, 2, 1, 15, 2, 2, 4, 2, 1, 2, 23, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..83.

EXAMPLE

2^{1/4} - 2^{-1/4} = 0.348310699749006523686374494327... = [0; 2, 1, 6, 1, 3, 32, 18, 3, 8, 1, 2, 2, ...].

MATHEMATICA

nmax = 1000; ContinuedFraction[ 2^(1/4) - 2^(-1/4), nmax + 1]

CROSSREFS

Cf. A154743, A154745 and A154746 for the decimal expansion and the numerators and denominators of the convergents.

Sequence in context: A249831 A304527 A321725 * A285038 A243145 A306695

Adjacent sequences:  A154741 A154742 A154743 * A154745 A154746 A154747

KEYWORD

nonn,cofr,easy

AUTHOR

Stuart Clary, Jan 14 2009

STATUS

approved

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)