A243597 Decimal expansion of the fraction of the full solid angle subtended by a cone with the polar angle of 1 radian.

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

Offset: 0

Author

Stanislav Sykora, Jun 07 2014

Keywords

• nonn
• cons
• easy

Comments

Given a right circular cone with polar angle theta, the fraction of the full solid angle it subtends is (1-cos(theta))/2.

Examples

			0.22984884706593014129953169627851169813384478969103888616...
		

Links

• Stanislav Sykora, Table of n, a(n) for n = 0..2000
• Wikipedia, Solid angle
• Wikipedia, Cone

Crossrefs

Cf. A243596 (solid angle).

Programs

Mathematica

RealDigits[(1-Cos[1])/2,10,120][[1]] (* Harvey P. Dale, Apr 14 2019 *)

PARI

(1-cos(1))/2

Formula

Equals (1-cos(1))/2.

Equals A243596/(4*Pi).