OFFSET
0,1
LINKS
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
KEYWORD
cons,nonn
AUTHOR
Artur Jasinski, Oct 25 2008
EXTENSIONS
Leading zero removed, offset adjusted by R. J. Mathar, Feb 05 2009
STATUS
approved