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A195723
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Decimal expansion of arctan(golden ratio).
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6
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1, 0, 1, 7, 2, 2, 1, 9, 6, 7, 8, 9, 7, 8, 5, 1, 3, 6, 7, 7, 2, 2, 7, 8, 8, 9, 6, 1, 5, 5, 0, 4, 8, 2, 9, 2, 2, 0, 6, 3, 5, 6, 0, 8, 7, 6, 9, 8, 6, 8, 3, 6, 5, 8, 7, 1, 4, 9, 2, 0, 2, 6, 9, 2, 4, 3, 7, 0, 5, 3, 0, 3, 3, 6, 5, 4, 4, 2, 3, 1, 0, 2, 3, 0, 7, 3, 0, 8, 8, 4, 8, 3, 2, 7, 9, 7, 3, 2, 1, 3
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OFFSET
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1,4
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COMMENTS
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The polar angle, in radians, of the cone circumscribed to a regular icosahedron from one of its vertices. - Stanislav Sykora, Feb 15 2014
The angle between the diagonal and the shorter side of a golden rectangle. - Amiram Eldar, May 18 2021
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LINKS
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FORMULA
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EXAMPLE
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arctan((1+sqrt(5))/2) = 1.0172219678978513677227...
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MATHEMATICA
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r=GoldenRatio; N[ArcTan[r], 100]
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PROG
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(Magma) SetDefaultRealField(RealField(100)); Arctan((1+Sqrt(5))/2); // G. C. Greubel, Aug 20 2018
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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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