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A073012
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Decimal expansion of Robbins constant.
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1
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6, 6, 1, 7, 0, 7, 1, 8, 2, 2, 6, 7, 1, 7, 6, 2, 3, 5, 1, 5, 5, 8, 3, 1, 1, 3, 3, 2, 4, 8, 4, 1, 3, 5, 8, 1, 7, 4, 6, 4, 0, 0, 1, 3, 5, 7, 9, 0, 9, 5, 3, 6, 0, 4, 8, 0, 8, 9, 4, 4, 2, 2, 9, 4, 7, 9, 5, 8, 4, 6, 4, 6, 1, 3, 8, 5, 9, 7, 6, 3, 1, 3, 0, 6, 6, 5, 2, 4, 8, 0, 7, 6, 8, 1, 0, 7, 1, 2, 0, 1, 5, 1, 7, 0, 9
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OFFSET
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0,1
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COMMENTS
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The average distance between two points chosen at random inside a unit cube.
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REFERENCES
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D. P. Robbins, Average distance between two points in a box, Amer. Mathematical Monthly, 85.4 1978 p. 278
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LINKS
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Table of n, a(n) for n=0..104.
Simon Plouffe, The Robbins constant
Eric Weisstein's World of Mathematics, Cube Line Picking
Eric Weisstein's World of Mathematics, Hypercube Line Picking
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FORMULA
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4/105+17/105Sqrt[2]-2/35Sqrt[3]+1/5Log[1+Sqrt[2]]+2/5Log[2+Sqrt[3]]-1/15Pi. - Eric Weisstein, Mar 02 2005
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EXAMPLE
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0.66170718226717623515583113324841358174640013579095...
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MATHEMATICA
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RealDigits[ N[4/105 + 17/105*Sqrt[2] - 2/35*Sqrt[3] + 1/5*Log[1 + Sqrt[2]] + 2/5*Log[2 + Sqrt[3]] - 1/15*Pi, 110]] [[1]]
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CROSSREFS
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Sequence in context: A199864 A153605 A112302 * A102522 A201672 A200299
Adjacent sequences: A073009 A073010 A073011 * A073013 A073014 A073015
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KEYWORD
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cons,nonn
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AUTHOR
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Robert G. Wilson v, Aug 03 2002
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STATUS
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approved
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