A394812 Decimal expansion of 3 - 24/Pi^2.

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

Offset

0,1

Comments

The solution to Sylvester's four-point problem on a hemisphere: the probability that four points independently and uniformly selected at random on a hemisphere form a convex spherical quadrilateral (Santaló, 2004).

References

Luis A. Santaló, Integral Geometry and Geometric Probability, 2nd ed., Cambridge University Press, 2004, p. 313, note 9.

Links

Table of n, a(n) for n=0..104.

Eric Weisstein's MathWorld, Sylvester's Four-Point Problem.

Index entries for transcendental numbers.

Formula

Equals 3 - 1/A222171.

Example

0.568291592583893485346892882966536666295389407866082...

Mathematica

RealDigits[3 - 24/Pi^2, 10, 120][[1]]

Prog

(PARI) 3 - 24/Pi^2

Crossrefs

Cf. A222171, A242780.

Cf. A394808, A394809, A394810, A394811.

Sequence in context: A337711 A345411 A275480 * A091659 A271571 A349577

Adjacent sequences: A394809 A394810 A394811 * A394813 A394814 A394815

Keyword

nonn,cons

Author

Amiram Eldar, Apr 02 2026

Status

approved