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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A073012 Decimal expansion of Robbins constant. 4
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 | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 4 15:05 EST 2016. Contains 278750 sequences.