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Search: id:A154740
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| A154740 |
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Continued fraction for sqrt{1 - 1/sqrt{2}}, the abscissa 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, 1, 1, 5, 1, 1, 3, 6, 1, 3, 3, 10, 10, 1, 1, 1, 5, 2, 3, 1, 1, 3, 6, 1, 8, 74, 2, 1, 2, 4, 2, 4, 3, 5, 9, 4, 3, 1, 1, 1, 2, 1, 17, 6, 1, 2, 12, 1, 1, 1, 2, 1, 24, 1, 2, 1, 2, 9, 989, 2, 13, 1, 5, 1, 1, 1, 64, 2, 2, 1, 1, 9, 1, 3, 1, 1, 1, 2, 3, 11, 2, 3, 1
(list; graph; listen)
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OFFSET
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0,4
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EXAMPLE
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sqrt{1 - 1/sqrt{2}} = 0.541196100146196984399723205366... = [0; 1, 1, 5, 1, 1, 3, 6, 1, 3, 3, 10, 10, ...]
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MATHEMATICA
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nmax = 1000; ContinuedFraction[ Sqrt[ 1 - 1/Sqrt[2] ], nmax + 1]
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CROSSREFS
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Cf. A154739, A154741 and A154742 for the decimal expansion and the numerators and denominators of the convergents.
Sequence in context: A036791 A010129 A073050 this_sequence A154567 A139391 A110635
Adjacent sequences: A154737 A154738 A154739 this_sequence A154741 A154742 A154743
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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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