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A332632
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Decimal expansion of arclength between (0,1) and (1,1/2) on y = 1/2^x.
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0
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1, 1, 2, 1, 5, 5, 3, 1, 8, 2, 4, 0, 0, 7, 3, 6, 0, 3, 1, 2, 0, 8, 1, 8, 5, 7, 1, 7, 1, 4, 4, 7, 9, 3, 7, 5, 2, 6, 2, 4, 5, 2, 5, 5, 1, 6, 6, 7, 0, 5, 0, 8, 8, 5, 4, 7, 8, 5, 0, 2, 3, 3, 8, 8, 2, 7, 9, 0, 1, 5, 9, 7, 1, 7, 7, 5, 6, 0, 8, 4, 0, 6, 4, 5, 2, 3
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OFFSET
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1,3
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LINKS
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EXAMPLE
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arclength = 1.1215531824007360312081857171447937526245255166...
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MATHEMATICA
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s = Integrate[Sqrt[1 + D[2^(-x), x]^2], {x, 0, 1}]
r = N[s, 200]
RealDigits[r][[1]]
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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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