login
A145961
Decimal expansion of 2*log(3) - 4*arccot(2) used in BBP Pi formula.
4
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
0,1
COMMENTS
BBP formula for Pi = 4*A145963 - (1/2)*A145960 - (1/2)*A145961 - A145962.
LINKS
Eric Weisstein's World of Mathematics, BBP Formula.
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).
EXAMPLE
0.342634141332994917933465548000193801180832898501017848225656312394197...
MATHEMATICA
First[RealDigits[2Log[3] - 4ArcCot[2], 10, 100]]
PROG
(PARI) 2*log(3) - 4*atan(1/2) \\ Michel Marcus, Jan 16 2021
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Artur Jasinski, Oct 25 2008
EXTENSIONS
Leading zero removed, offset adjusted by R. J. Mathar, Feb 05 2009
STATUS
approved