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A093063
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Decimal expansion of (2 + 4*sqrt(2) + (4 + sqrt(2))*ArcSinh[1])/30.
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1
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4, 1, 4, 2, 9, 3, 3, 0, 2, 5, 9, 5, 0, 3, 3, 7, 7, 7, 4, 3, 0, 8, 4, 1, 0, 7, 8, 5, 7, 5, 3, 0, 3, 2, 5, 1, 8, 5, 6, 4, 2, 3, 9, 8, 1, 3, 0, 8, 2, 4, 8, 9, 4, 8, 0, 5, 0, 5, 7, 7, 6, 9, 7, 9, 5, 8, 9, 5, 9, 2, 8, 8, 6, 6, 1, 0, 1, 8, 6, 9, 5, 5, 8, 9, 0, 5, 7, 1, 9, 5, 0, 4, 7, 4, 2, 8, 1, 2, 3, 9, 5, 0
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Average length of a line picked at random inside an isosceles right triangle with legs of unit length.
Close but not equal to sqrt(2)-1 = 0.414213562.
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LINKS
| Eric Weisstein's World of Mathematics, Triangle Line Picking
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EXAMPLE
| 0.414293302...
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MATHEMATICA
| RealDigits[(2+4Sqrt[2]+(4+Sqrt[2])ArcSinh[1])/30, 10, 120][[1]] (* From Harvey P. Dale, Jan 20 2012 *)
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CROSSREFS
| Cf. A093064.
Sequence in context: A055190 A155781 A161772 * A049007 A016686 A060037
Adjacent sequences: A093060 A093061 A093062 * A093064 A093065 A093066
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KEYWORD
| nonn,cons
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Mar 16, 2004
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