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A135707 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. 0
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; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..99.

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

EXAMPLE

1.0881382498612540260133800398822187615937033186594483235371...

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} ]

CROSSREFS

Sequence in context: A174127 A230153 A091648 * A021923 A296496 A065465

Adjacent sequences:  A135704 A135705 A135706 * A135708 A135709 A135710

KEYWORD

nonn,cons

AUTHOR

Richard C. Schroeppel and Michael Kleber, Mar 05 2008

STATUS

approved

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Last modified October 17 15:01 EDT 2019. Contains 328116 sequences. (Running on oeis4.)