A301865 Decimal expansion of the probability that 2 planes, each passes through 3 random points inside a sphere, will intersect within the sphere.

9, 0, 4, 9, 8, 6, 4, 7, 8, 9, 4, 5, 8, 7, 4, 9, 8, 0, 6, 3, 6, 3, 6, 9, 4, 4, 9, 6, 4, 4, 6, 9, 8, 8, 4, 0, 9, 4, 2, 5, 9, 7, 1, 8, 8, 5, 6, 7, 6, 6, 8, 7, 3, 7, 0, 6, 9, 7, 9, 1, 3, 1, 4, 4, 4, 2, 2, 2, 6, 9, 7, 4, 6, 7, 6, 7, 2, 2, 1, 1, 2, 6, 0, 0, 7, 0, 5

Offset: 0

Author

Amiram Eldar, Mar 28 2018

Keywords

• nonn
• cons

Comments

The problem was proposed and solved by Enoch Beery Seitz in 1883.

Examples

			0.90498647894587498063636944964469884094259718856766...
		

References

• Stanley Rabinowitz, Problems and Solutions from the Mathematical Visitor 1877-1896, MathPro Press, 1991, pp. 173-174.

Links

• Enoch Beery Seitz, Problem 215, The Mathematical Visitor, Vol. 2, No. 3 (1883), p. 58-59.

Crossrefs

Cf. A301862, A301863, A301864.

Programs

Mathematica

RealDigits[(63/64)^4*(5*Pi/16)^2, 10, 100][[1]]

PARI

(63/64)^4*(5*Pi/16)^2 \\ Altug Alkan, Mar 28 2018

Formula

Equals (63/64)^4*(5*Pi/16)^2.

Extensions

Offset corrected by Artur Jasinski, Jun 01 2025