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Search: id:A122952
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| A122952 |
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Decimal expansion of 3*Pi. |
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+0
1
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| 9, 4, 2, 4, 7, 7, 7, 9, 6, 0, 7, 6, 9, 3, 7, 9, 7, 1, 5, 3, 8, 7, 9, 3, 0, 1, 4, 9, 8, 3, 8, 5, 0, 8, 6, 5, 2, 5, 9, 1, 5, 0, 8, 1, 9, 8, 1, 2, 5, 3, 1, 7, 4, 6, 2, 9, 2, 4, 8, 3, 3, 7, 7, 6, 9, 2, 3, 4, 4, 9, 2, 1, 8, 8, 5, 8, 6, 2, 6, 9, 9, 5, 8, 8, 4, 1, 0, 4, 4, 7, 6, 0, 2, 6, 3, 5, 1, 2, 0, 3, 9, 4, 6, 4, 4
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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Area of the unit cycloid with cusp at the origin.
The arc length Integrate {theta=0..2Pi}, Sqrt(2(1-Cos(theta)) d theta = 8.
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REFERENCES
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Anton, Bivens & Davis, Calculus, Early Transcendentals, 7th Edition, John Wiley & Sons, Inc., NY 2002, pg 490.
William H. Beyer, Editor, CRC St'd Math. Tables, 27th Edition, CRC Press, Inc., Boca Raton, FL, 1984, pg 214.
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FORMULA
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The formula for the cycloid parameterically is x = a - Sin(a) and y = 1 - Cos(a).
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EXAMPLE
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= 9.424777960769379715387930149838508652591508198125317462924833776...
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MATHEMATICA
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RealDigits[3Pi, 10, 111][[1]]
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CROSSREFS
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Sequence in context: A021519 A091661 A011313 this_sequence A039663 A155535 A099879
Adjacent sequences: A122949 A122950 A122951 this_sequence A122953 A122954 A122955
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KEYWORD
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cons,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 30 2006
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