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A140272
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Decimal expansion of arctan(3*sqrt(15)/29).
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1
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3, 8, 1, 0, 6, 9, 5, 6, 8, 7, 7, 7, 5, 6, 0, 2, 6, 9, 0, 8, 1, 4, 9, 3, 4, 2, 3, 7, 9, 8, 7, 4, 2, 1, 3, 9, 3, 8, 2, 2, 4, 6, 4, 7, 9, 3, 8, 7, 7, 6, 4, 6, 9, 2, 2, 2, 8, 3, 1, 5, 6, 9, 0, 1, 3, 2, 2, 5, 4, 7, 0, 4, 9, 6, 8, 0, 9, 6, 7, 9, 2, 0, 4, 5, 5, 0, 0, 0, 2, 6, 4, 8, 8, 2, 5, 5, 4, 8, 5, 6, 1, 0, 2, 3, 2
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OFFSET
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0,1
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COMMENTS
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The Brocard angle in radians of the obtuse scalene triangle with sides of lengths 2, 3 and 4, the scalene triangle with least integer side lengths. See formulas in the Weisstein link.
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LINKS
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FORMULA
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arctan(3*sqrt(15)/29) = arctan(4*A140239/29) = arcsin(3*sqrt(915)/244) = arccos(29*sqrt(61)/244).
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EXAMPLE
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0.38106956877756026908149342379874213938224647938776469222831569013225470496...
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MATHEMATICA
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RealDigits[ArcTan[(3Sqrt[15])/29], 10, 120][[1]] (* Harvey P. Dale, Aug 24 2019 *)
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PROG
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(PARI) atan(3*sqrt(15)/29)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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