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A336198
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Decimal expansion of the radius of a sphere centered on the surface of a unit-radius sphere and dividing it into two parts of equal volume.
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2
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1, 2, 2, 8, 5, 4, 4, 8, 6, 3, 7, 3, 5, 2, 2, 0, 9, 0, 3, 4, 4, 8, 9, 9, 4, 4, 9, 7, 6, 8, 5, 2, 9, 3, 4, 6, 5, 6, 4, 4, 1, 9, 1, 6, 4, 5, 5, 1, 8, 6, 0, 2, 6, 4, 1, 5, 9, 0, 8, 1, 9, 5, 2, 4, 5, 1, 0, 9, 7, 2, 7, 2, 3, 4, 4, 6, 8, 8, 4, 6, 7, 2, 9, 6, 0, 0, 7
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OFFSET
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1,2
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COMMENTS
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The solution to the grazing goat problem in three dimensions.
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LINKS
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FORMULA
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The smaller of the 2 real roots of the equation 3*x^4 - 8*x^3 + 8 = 0.
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EXAMPLE
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1.228544863735220903448994497685293465644191645518602...
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MATHEMATICA
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RealDigits[x /. Solve[3*x^4 - 8*x^3 + 8 == 0 && x > 0, {x}, Reals][[1]], 10, 100][[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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