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!)
A075549 Decimal expansion of 9 - 12*log(2). 3
6, 8, 2, 2, 3, 3, 8, 3, 3, 2, 8, 0, 6, 5, 6, 2, 8, 6, 9, 9, 3, 2, 1, 4, 5, 4, 2, 5, 0, 1, 8, 8, 1, 1, 8, 3, 0, 9, 3, 9, 9, 8, 3, 8, 7, 6, 7, 6, 9, 3, 6, 9, 5, 0, 5, 5, 1, 8, 3, 9, 8, 8, 6, 0, 7, 9, 2, 7, 6, 5, 3, 6, 3, 6, 3, 6, 6, 3, 4, 1, 2, 7, 2, 9, 6, 4, 0, 0, 7, 6, 0, 4, 2, 9, 7, 5, 7, 4, 9, 4, 9, 5, 9, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Choose two numbers at random from the interval [0,1] (using a uniform distribution). This will give three subintervals of lengths a, b and c. What is the probability that there is a triangle with sides a, b and c? Given that a such a triangle exists, what is the probability that it is obtuse? Answer: Probablility that there is a triangle is 1/4. Probability for this triangle to be obtuse is = 9 - 12 * log(2) = .68223... .

LINKS

Table of n, a(n) for n=0..103.

Zak Levi, The Problem #28.

EXAMPLE

9 - 12*log(2) = 0.682233833280656286993214542501881183...

MATHEMATICA

RealDigits[9 - 12Log[2], 10, 100][[1]] (* Alonso del Arte, Nov 02 2013 *)

CROSSREFS

Sequence in context: A214369 A242769 A189090 * A196617 A021860 A161015

Adjacent sequences:  A075546 A075547 A075548 * A075550 A075551 A075552

KEYWORD

nonn,cons

AUTHOR

Zak Seidov, Oct 11 2002

EXTENSIONS

Offset corrected by R. J. Mathar, Feb 05 2009

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 24 02:09 EST 2014. Contains 249867 sequences.