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 A078127 DirichletBeta'[1]. 0
 1, 9, 2, 9, 0, 1, 3, 1, 6, 7, 9, 6, 9, 1, 2, 4, 2, 9, 3, 6, 3, 1, 8, 9, 7, 6, 4, 0, 2, 8, 0, 3, 2, 7, 8, 5, 2, 4, 5, 0, 9, 6, 8, 6, 7, 6, 2, 0, 0, 0, 7, 5, 2, 7, 1, 7, 1, 3, 4, 9, 2, 2, 7, 4, 4, 3, 6, 0, 5, 7, 0, 3, 5, 9, 2, 7, 7, 8, 7, 7, 0, 3, 9, 1, 4, 4, 3, 0, 5, 5, 1, 6, 3, 8, 7, 8, 4, 6, 0, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS (Pi/4)*(gamma + log[2*Pi] - 2*log(Gamma(1/4)/Gamma(3/4))), where gamma is Euler's constant and Gamma(x) is the Euler Gamma function. LINKS Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 8. Eric Weisstein's World of Mathematics, Dirichlet Beta Function FORMULA Equals Sum_{k>=1} (-1)^(k+1)*log(2*k+1)/(2*k+1). - Jean-François Alcover, Aug 11 2014 EXAMPLE 0.192901316796912429.. MATHEMATICA Prepend@@RealDigits[(Pi*(EulerGamma + 2*Log[2] + 3*Log[Pi] - 4*Log[Gamma[1/4]]))/4, 10, 101] CROSSREFS Cf. A068465, A068466. Sequence in context: A073007 A157215 A021919 * A217626 A275362 A217174 Adjacent sequences:  A078124 A078125 A078126 * A078128 A078129 A078130 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Nov 19 2002 STATUS approved

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Last modified June 14 13:59 EDT 2021. Contains 345025 sequences. (Running on oeis4.)