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Search: id:A154744
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| A154744 |
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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. |
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+0
4
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| 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; listen)
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OFFSET
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0,2
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EXAMPLE
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2^{1/4} - 2^{-1/4} = 0.348310699749006523686374494327... = [0; 2, 1, 6, 1, 3, 32, 18, 3, 8, 1, 2, 2, ...]
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MATHEMATICA
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nmax = 1000; ContinuedFraction[ 2^(1/4) - 2^(-1/4), nmax + 1]
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CROSSREFS
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Cf. A154743, A154745 and A154746 for the decimal expansion and the numerators and denominators of the convergents.
Sequence in context: A126342 A082388 A085099 this_sequence A048671 A088123 A050932
Adjacent sequences: A154741 A154742 A154743 this_sequence A154745 A154746 A154747
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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Stuart Clary (clary(AT)uakron.edu), Jan 14, 2009
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