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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

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Last modified August 28 23:00 EDT 2014. Contains 246186 sequences.