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A135707
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Consider a domino formed from two adjacent 1 X 1 squares. This is the decimal expansion of the average distance between a random point in the left square and a random point in the right square.
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1, 0, 8, 8, 1, 3, 8, 2, 4, 9, 8, 6, 1, 2, 5, 4, 0, 2, 6, 0, 1, 3, 3, 8, 0, 0, 3, 9, 8, 8, 2, 2, 1, 8, 7, 6, 1, 5, 9, 3, 7, 0, 3, 3, 1, 8, 6, 5, 9, 4, 4, 8, 3, 2, 3, 5, 3, 7, 1, 7, 3, 2, 4, 9, 8, 8, 8, 0, 3, 9, 0, 4, 3, 0, 3, 7, 2, 8, 9, 9, 3, 7, 9, 8, 5, 0, 2, 0, 0, 8, 5, 7, 3, 6, 6, 0, 1, 2, 0
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| (116 - 8 Sqrt[2] - 20 Sqrt[5] + 140 ArcCsch[2] - 40 ArcSinh[1] + 80 ArcSinh[2] + Log[32] + 10 Log[-1 + Sqrt[5]] - 15 Log[123 + 55 Sqrt[5]]) / 120
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EXAMPLE
| 1.0881382498612540260133800398822187615937033186594483235371...
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MATHEMATICA
| d[x1_, y1_, x2_, y2_] := Sqrt[ (x1-x2)^2+(y1-y2)^2 ]
Integrate[ d[x1, y1, x2, y2], {x1, -1, 0}, {x2, 0, 1}, {y1, 0, 1}, {y2, 0, 1} ]
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CROSSREFS
| Sequence in context: A176155 A174127 A091648 * A021923 A065465 A199597
Adjacent sequences: A135704 A135705 A135706 * A135708 A135709 A135710
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KEYWORD
| nonn,cons
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AUTHOR
| Richard Schroeppel and Michael Kleber, Mar 05 2008
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