cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A075549 Decimal expansion of 9 - 12*log(2).

Original entry on oeis.org

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
Offset: 0

Views

Author

Zak Seidov, Oct 11 2002

Keywords

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: Probability that there is a triangle is 1/4. Probability for this triangle to be obtuse is = 9 - 12 * log(2) = 0.68223... .
The problem proposed by Singmaster (1973) is to the calculate the probability that the three segments can form an obtuse triangle. Its solution is 1/4 of this constant, i.e., 9/4 - 3*log(2) = 0.170558... . - Amiram Eldar, May 20 2023

Examples

			0.682233833280656286993214542501881183...
		

References

  • Paul J. Nahin, Digital Dice: Computational Solutions to Practical Probability Problems, Princeton University Press, 2008, pp. 31-32.

Crossrefs

Cf. A002162 (log(2)).

Programs

Extensions

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