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A102519
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Decimal expansion of 1-(3*sqrt(3))/(4*Pi).
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13
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5, 8, 6, 5, 0, 3, 3, 2, 8, 4, 3, 3, 6, 5, 5, 9, 6, 2, 8, 6, 6, 5, 0, 5, 1, 2, 6, 2, 6, 5, 2, 7, 2, 9, 1, 8, 9, 5, 1, 9, 6, 0, 1, 3, 9, 7, 2, 5, 0, 1, 9, 5, 1, 0, 4, 0, 0, 4, 7, 5, 4, 8, 4, 7, 8, 1, 7, 2, 7, 2, 7, 2, 3, 9, 8, 0, 4, 7, 6, 5, 3, 8, 6, 9, 7, 1, 4, 9, 7, 8, 3, 8, 2, 6, 2, 1, 8
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OFFSET
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0,1
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COMMENTS
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This is the probability that a Gaussian triangle in 3 dimensions is obtuse.
Also the probability that the distance between 2 randomly selected points within a circle will be smaller than the radius. - Amiram Eldar, Mar 03 2019
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LINKS
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M. W. Crofton, Problem 1829, solved by J. J. Sylvester and by the proposer, Mathematical Questions with Their Solutions: From the "Educational Times", Vol. 4 (1866), pp. 77-78.
S. R. Finch, Random Triangles, Jan 21 2010. [Cached copy, with permission of the author]
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EXAMPLE
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0.58650332843365596286650512626527291895196013972501951040047548478172727...
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MATHEMATICA
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RealDigits[1 - (3*Sqrt[3])/(4*Pi), 10, 50][[1]] (* G. C. Greubel, Jun 02 2017 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Jan 13 2005
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STATUS
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approved
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