A363437 Decimal expansion of the volume of the regular tetrahedron inscribed in the unit-radius sphere.

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

Offset

0,1

Links

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

Eric Weisstein's World of Mathematics, Regular Tetrahedron.

Wikipedia, Tetrahedron: Regular tetrahedron.

Formula

Equals 8/(9*sqrt(3)).

Equals A118273 / 3.

Equals A020829 / A187110 ^ 3.

Example

0.51320023927966734623035447155729551613120155668455...

Mathematica

RealDigits[8/(9*Sqrt[3]), 10, 120][[1]]

Crossrefs

Cf. A118273 (cube), A122553 (regular octahedron), A339259 (regular icosahedron), A363438 (regular dodecahedron).

Other constants related to the regular tetrahedron: A020781, A020829, A137914, A156546, A187110, A210974, A232812, A236555.

Sequence in context: A115638 A342375 A055515 * A338096 A215010 A136744

Adjacent sequences: A363434 A363435 A363436 * A363438 A363439 A363440

Keyword

nonn,cons

Author

Amiram Eldar, Jun 02 2023

Status

approved