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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A145962 Decimal expansion of (1/5)*Hypergeometric2F1[1, 5/8, 13/8, 1/16] used in BBP Pi formula. 4
 2, 0, 5, 0, 0, 2, 5, 5, 7, 6, 3, 6, 4, 2, 3, 5, 3, 3, 9, 4, 4, 1, 5, 0, 3, 3, 6, 2, 1, 8, 4, 9, 2, 2, 6, 6, 9, 0, 6, 1, 6, 5, 2, 4, 2, 7, 1, 2, 1, 4, 9, 4, 3, 9, 6, 0, 0, 0, 1, 8, 5, 0, 6, 3, 4, 7, 8, 0, 9, 8, 9, 5, 8, 6, 1, 2, 0, 9, 3, 0, 1, 4, 5, 4, 5, 0, 7, 6, 4, 1, 6, 9, 2, 8, 2, 2, 9, 0, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS BBP formula for Pi = 4*A145963 - (1/2)*A145960 - (1/2)*A145961 - A145962. LINKS Table of n, a(n) for n=0..99. Eric Weisstein's World of Mathematics, BBP Formula FORMULA Equals Sum_{k>=0} (1/16)^k / (8*k+5). EXAMPLE 0.2050025576364235339441503362184922669061652427121494396000185063478... MATHEMATICA RealDigits[1/5 Hypergeometric2F1[1, 5/8, 13/8, 1/16], 10, 100][[1]] N[Sum[(1/16)^n (1/(8n+5)), {n, 0, Infinity}], 100] N[Sqrt[2](ArcCot[Sqrt[2]] + ArcCoth[Sqrt[2]]) -Pi/4 - ArcCot[3] - Log[5]/2, 100] PROG (PARI) suminf(k=0, (1/16)^k / (8*k+5)) \\ Michel Marcus, Jan 16 2021 CROSSREFS Cf. A000796, A145960, A145961, A145963. Sequence in context: A356815 A352554 A352563 * A066442 A171388 A086134 Adjacent sequences: A145959 A145960 A145961 * A145963 A145964 A145965 KEYWORD cons,nonn AUTHOR Artur Jasinski, Oct 25 2008 EXTENSIONS Leading zero removed, offset adjusted by R. J. Mathar, Feb 05 2009 STATUS approved

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.

Last modified June 2 01:19 EDT 2023. Contains 363078 sequences. (Running on oeis4.)