A243711 Decimal expansion of the fraction of the full solid angle subtended by an equilateral spherical triangle with a side length of 1 radian.

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

Offset

0,2

Comments

Same quantity as in A243710, but expressed as a fraction of the full solid angle of 4*Pi.

Links

Stanislav Sykora, Table of n, a(n) for n = 0..2001

Formula

Equals A243710/(4*Pi).

Example

0.0394381887135864812051517857389190563773828925242886272371475...

Mathematica

RealDigits[ArcTan[Sqrt[Tan[3/4]*Tan[1/4]^3]]/Pi, 10, 120, -1][[1]] (* Amiram Eldar, Jun 11 2023 *)

Prog

(PARI) atan(sqrt(tan(3/4)*tan(1/4)^3))/Pi

Crossrefs

Cf. A243710.

Sequence in context: A050000 A154368 A321120 * A247553 A378976 A307238

Adjacent sequences: A243708 A243709 A243710 * A243712 A243713 A243714

Keyword

nonn,cons,easy

Author

Stanislav Sykora, Jun 08 2014

Status

approved