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 A145962 Decimal expansion of 1/5 Hypergeometric2F1[1, 5/8, 13/8, 1/16] = 0.205... used by 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 A145962 = 1/5 Hypergeometric2F1[1, 5/8, 13/8, 1/16] = Sum[(1/16)^n (1/(8n+5)),{n,0,Infinity}] = (*Artur Jasinski*) Sqrt[2](ArcCot[Sqrt[2]] + ArcCoth[Sqrt[2]]) -Pi/4 - ArcCot[3] - Log[5]/2 BBP Formula on Pi = 4*A145963-(1/2)A145960-(1/2)A145961-A145962 = (*Artur Jasinski*) =4((1/16) (Pi + 4 ArcTan[1/3] + 4 Sqrt[2] ArcTan[1/Sqrt[2]] + Log[25] - 2 Sqrt[2] Log[2 - Sqrt[2]] + 2 Sqrt[2] Log[2 + Sqrt[2]]))- (Sqrt[2] ArcCot[Sqrt[2]] + Sqrt[2] ArcCoth[Sqrt[2]] - Log[5]/2 - Pi/4 - ArcCot[3])- (1/2)(2*Log[5/3])- (1/2)(2*Log[3]-2 ArcTan[1/2]) = Pi = 3.1414... = A000796 LINKS Weisstein, Eric W., BBP Formula MATHEMATICA k = First[RealDigits[1/5 Hypergeometric2F1[1, 5/8, 13/8, 1/16], 10, 100]]; Prepend[k, 0] CROSSREFS Sequence in context: A055978 A245695 A069025 * A066442 A171388 A086134 Adjacent sequences:  A145959 A145960 A145961 * A145963 A145964 A145965 KEYWORD cons,nonn AUTHOR Artur Jasinski, Oct 25 2008 EXTENSIONS Removed leading zero, adjusted offset - R. J. Mathar, Feb 05 2009 STATUS approved

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Last modified December 9 00:32 EST 2019. Contains 329871 sequences. (Running on oeis4.)