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

 

Logo


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 October 25 19:50 EDT 2014. Contains 248557 sequences.