A236558 Vertex solid angle (steradians) in a regular dodecahedron.

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

Offset

1,1

Links

Stanislav Sykora, Table of n, a(n) for n = 1..2000

Wikipedia, Platonic solid.

Formula

Equals Pi - arctan(2/11).

Example

2.9617391537973149678740903860233946481841958625459137019202715623145...

Mathematica

RealDigits[Pi - ArcTan[2/11], 10, 120][[1]] (* Amiram Eldar, May 22 2023 *)

Prog

(PARI) Pi-atan(2/11)

Crossrefs

Cf. Analogs: A236555 (tetrahedron), A236556 (octahedron), A019669 (cube), A236557 (icosahedron).

Sequence in context: A193088 A162916 A057273 * A296004 A108986 A011069

Adjacent sequences: A236555 A236556 A236557 * A236559 A236560 A236561

Keyword

nonn,cons,easy

Author

Stanislav Sykora, Jan 28 2014

Status

approved