A233527 Decimal expansion of arctan( 1/(2*Pi) ): opposite angle for a right triangle of equal area to a circle.

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

Offset

0,2

Links

Table of n, a(n) for n=0..99.

Wikipedia, Area of a circle: Triangle proof

Formula

Equals arctan(1/A019692).

Equals A019669 - A233528. [Bruno Berselli, Dec 16 2013]

Example

0.15783119028815886016760874178281892360507124059905106041555796721382...

Mathematica

RealDigits[ArcTan[1/(2 Pi)], 10, 110][[1]] (* Bruno Berselli, Dec 16 2013 *)

Prog

(PARI) atan(1/(2*Pi))

Crossrefs

Cf. A019669, A019692, A086201, A233528.

Sequence in context: A063006 A135096 A153104 * A244355 A245278 A155855

Adjacent sequences: A233524 A233525 A233526 * A233528 A233529 A233530

Keyword

nonn,cons

Author

John W. Nicholson, Dec 11 2013

Extensions

More terms from Ralf Stephan, Dec 16 2013

Status

approved