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A075549
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Decimal expansion of 9 - 12*ln 2.
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3
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6, 8, 2, 2, 3, 3, 8, 3, 3, 2, 8, 0, 6, 5, 6, 2, 8, 6, 9, 9, 3, 2, 1, 4, 5, 4, 2, 5, 0, 1, 8, 8, 1, 1, 8, 3, 0, 9, 3, 9, 9, 8, 3, 8, 7, 6, 7, 6, 9, 3, 6, 9, 5, 0, 5, 5, 1, 8, 3, 9, 8, 8, 6, 0, 7, 9, 2, 7, 6, 5, 3, 6, 3, 6, 3, 6, 6, 3, 4, 1, 2, 7, 2, 9, 6, 4, 0, 0, 7, 6, 0, 4, 2, 9, 7, 5, 7, 4, 9, 4, 9, 5, 9, 8
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OFFSET
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0,1
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COMMENTS
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Choose two numbers at random from the interval [0,1] (using a uniform distribution). This will give three subintervals of lengths a, b and c. What is the probability that there is a triangle with sides a, b and c? Given that a such a triangle exists, what is the probability that it is obtuse? Answer: Probablility that there is a triangle is 1/4. Probability for this triangle to be obtuse is = 9 - 12 ln2 = .68223.
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LINKS
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Table of n, a(n) for n=0..103.
Zak Levi, The Problem #28.
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EXAMPLE
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9 - 12 ln2 =.68223
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CROSSREFS
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Sequence in context: A143852 A214369 A189090 * A196617 A021860 A161015
Adjacent sequences: A075546 A075547 A075548 * A075550 A075551 A075552
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KEYWORD
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nonn,cons
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AUTHOR
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Zak Seidov, Oct 11 2002
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EXTENSIONS
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Offset corrected by R. J. Mathar, Feb 05 2009
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STATUS
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approved
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