login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A145960 Decimal expansion of 2*log(5/3) used in BBP Pi formula. 4

%I #31 Jan 22 2021 07:09:46

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

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

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

%N Decimal expansion of 2*log(5/3) used in BBP Pi formula.

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BBPFormula.html">BBP Formula</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals 2*log(5/3) = 2*(log(5)-log(3)) = 2*(A016628 - A002391) = log(25/9) = 4*arctanh(1/4).

%F Equals Hypergeometric2F1(1, 1/2, 3/2, 1/16).

%F Equals Sum_{k>=0} (1/16)^k*(1/(2k+1)).

%e 1.021651247531981366411...

%t First[RealDigits[2 Log[5/3], 10, 100]]

%o (PARI) 2*log(5/3) \\ _Michel Marcus_, Apr 05 2015

%Y Cf. A000796, A145961, A145962, A145963.

%K cons,nonn

%O 1,3

%A _Artur Jasinski_, Oct 25 2008

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)