A363437 - OEIS

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A363437

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

4

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

(list; constant; graph; refs; listen; history; text; internal format)

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