login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A073012 Decimal expansion of Robbins constant. 3
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; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

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

FORMULA

4/105+17/105Sqrt[2]-2/35Sqrt[3]+1/5Log[1+Sqrt[2]]+2/5Log[2+Sqrt[3]]-1/15Pi. - Eric W. 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

Cf. A091505.

Sequence in context: A153605 A247447 A112302 * A102522 A201672 A200299

Adjacent sequences:  A073009 A073010 A073011 * A073013 A073014 A073015

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v, Aug 03 2002

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 28 07:52 EST 2014. Contains 250285 sequences.