OFFSET
1,4
LINKS
Eric Weisstein's World of Mathematics, BBP Formula.
FORMULA
Equals Sum_{k>=0} (1/16)^k / (8*k+1).
EXAMPLE
1.00718447641467622864476...
MATHEMATICA
First[RealDigits[Hypergeometric2F1[1, 1/8, 9/8, 1/16], 10, 100]]
N[(1/16) (Pi + 2 Sqrt[2] (2 ArcCoth[Sqrt[2]] + ArcTan[2 Sqrt[2]]) + 2 ArcTan[3/4] + 2 Log[5]), 100]
N[Sum[(1/16)^n (1/(8n+1)), {n, 0, Infinity}], 100]
PROG
(PARI) suminf(k=0, (1/16)^k / (8*k+1)) \\ Michel Marcus, Jan 16 2021
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Artur Jasinski, Oct 25 2008
STATUS
approved