A145961 Decimal expansion of 2*log(3) - 4*arccot(2) used in BBP Pi formula.

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

Offset: 0

Author

Artur Jasinski, Oct 25 2008

Keywords

• cons
• nonn

Comments

BBP formula for Pi = 4*A145963 - (1/2)*A145960 - (1/2)*A145961 - A145962.

Examples

			0.342634141332994917933465548000193801180832898501017848225656312394197...
		

Links

• Eric Weisstein's World of Mathematics, BBP Formula.

Crossrefs

Cf. A000796, A145960, A145962, A145963.

Programs

Mathematica

First[RealDigits[2Log[3] - 4ArcCot[2], 10, 100]]

PARI

2*log(3) - 4*atan(1/2) \\ Michel Marcus, Jan 16 2021

Formula

Equals 2*log(3) - 4*arccot(2).

Equals (1/3)*Hypergeometric2F1(1, 3/4, 7/4, 1/16).

Equals Sum_{k>=0} (1/16)^k/(4*k+3).

Extensions

Leading zero removed, offset adjusted by R. J. Mathar, Feb 05 2009