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A073012 Decimal expansion of Robbins constant. +0
2
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 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

The average distance between two points chosen at random inside a unit cube.

REFERENCES

D. P. Robbins, Average distance between two points in a box, Amer. Mathematical Monthly, 85.4 1978 p. 278

LINKS

Simon Plouffe, The Robbins constant

Eric Weisstein's World of Mathematics, Cube Line Picking

Eric Weisstein's World of Mathematics, Hypercube Line Picking

FORMULA

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

EXAMPLE

0.66170718226717623515583113324841358174640013579095...

MATHEMATICA

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]]

CROSSREFS

Adjacent sequences: A073009 A073010 A073011 this_sequence A073013 A073014 A073015

Sequence in context: A133890 A111719 A112302 this_sequence A102522 A105817 A093313

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2002

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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