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A115456
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Decimal expansion of mean perimeter of a quadrilateral inscribed in a square of unit side.
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0
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3, 0, 6, 0, 7, 8, 2, 8, 6, 5, 8, 5, 6, 8, 5, 0, 7, 6, 5, 3, 7, 9, 0, 6, 4, 0, 6, 5, 5, 8, 5, 9, 8, 7, 1, 8, 3, 4, 6, 3, 7, 7, 6, 2, 7, 1, 5, 1, 8, 1, 1, 1, 3, 1, 1, 9, 0, 6, 6, 3, 3, 7, 9, 5, 5, 2, 5, 4, 7, 9, 5, 5, 0, 2, 4, 5, 5, 1, 0, 8, 3, 5, 5, 7, 8, 7, 9, 2, 5, 6, 8, 3, 1, 7, 1, 9, 6, 8, 2, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 4 Integrate[Sqrt[x^2+y^2],{x,0,1},{y,0,1}]=(4/3)*(Sqrt[2] + ArcSinh[1])
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EXAMPLE
| (4/3)(sqrt(2)+ln(sqrt(2)+1))=4/3(sqrt(2)+ArcSinh(1))=3.0607828658568507653790640655859871834637762715181
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MATHEMATICA
| RealDigits[N[(4/3)*(Sqrt[2] + ArcSinh[1]), 100]][[1]]
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CROSSREFS
| Sequence in context: A092731 A201567 A161829 * A007386 A007385 A022899
Adjacent sequences: A115453 A115454 A115455 * A115457 A115458 A115459
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KEYWORD
| cons,nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), May 07 2007
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EXTENSIONS
| Typo in Mathematica program fixed by Moshe Levin (moshe.levin(AT)mail.ru), Nov 19 2011
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