A394169 Decimal expansion of 4*Pi/105.

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

Offset

0,3

Comments

The mean volume of a tetrahedron whose vertices are uniformly and independently selected at random on the surface of a sphere of unit radius.

References

Steven R. Finch, Mathematical Constants II, Cambridge University Press, 2018, p. 716.

Links

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

Steven R. Finch, Random Triangles VI, 2011, p. 3.

Lothar Heinrich, R. Körner, N. Mehlhorn, and Lutz Muche, Numerical and analytical computation of some second-order characteristics of spatial Poisson-Voronoi tessellations, Statistics: A Journal of Theoretical and Applied Statistics, Vol. 31 No. 3 (1998), pp. 235-259.

Roger E. Miles, Isotropic random simplices, Advances in Applied Probability, Vol. 3, No. 2 (1971), pp. 353-382.

Eric Weisstein's World of Mathematics, Sphere Tetrahedron Picking.

Index entries for transcendental numbers.

Example

0.119679720136754028131910224124933443207511215214289...

Mathematica

RealDigits[4*Pi/105, 10, 120][[1]]

Prog

(PARI) 4*Pi/105

Crossrefs

Tetrahedron volume in: A093524 (cube), A093525 (tetrahedron), A093591 (ball), this constant (surface of sphere), A394170 (octahedron), A394171 (rhombic dodecahedron), A394172 (cuboctahedron), A394173 (truncated tetrahedron), A394174 (triangular bipyramid), A394175 (triangular prism), A394176 (square pyramid).

Sequence in context: A203080 A197375 A019643 * A011012 A157989 A243265

Adjacent sequences: A394166 A394167 A394168 * A394170 A394171 A394172

Keyword

nonn,cons

Author

Amiram Eldar, Mar 11 2026

Status

approved