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 A188157 Decimal expansion of the integral of the logarithm of the Riemann zeta function from 1 to infinity. 1
 1, 7, 9, 7, 5, 6, 9, 9, 5, 8, 6, 2, 8, 7, 3, 9, 4, 0, 7, 9, 3, 0, 2, 5, 0, 7, 8, 2, 1, 2, 1, 5, 3, 1, 6, 5, 8, 6, 4, 6, 0, 5, 1, 8, 3, 0, 7, 5, 7, 0, 8, 7, 1, 6, 7, 9, 8, 2, 0, 3, 4, 8, 4, 8, 3, 1, 5, 5, 4, 1, 7, 0, 5, 1, 9, 8, 6, 6, 1, 0, 6, 6, 7, 9, 1, 3, 0, 5, 9, 6, 8, 9, 1, 5, 5, 2, 6, 1, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS H. Cohen, High-precision calculation of Hardy-Littlewood constants, 1998, variable I(1). R. J. Mathar, Twenty digits of some integrals of the prime zeta function, arXiv:0811.4739, table in Section 2.4. EXAMPLE Equals 1.79756995862873940793025078... = Integral_{s=1..infinity} log zeta(s) ds. MATHEMATICA RealDigits[ NIntegrate[ Log[ Zeta[x]], {x, 1, Infinity}, WorkingPrecision -> 100, AccuracyGoal -> 100]][[1]] (* Jean-François Alcover, Nov 08 2012 *) CROSSREFS Sequence in context: A248674 A108743 A177271 * A135000 A257239 A199742 Adjacent sequences:  A188154 A188155 A188156 * A188158 A188159 A188160 KEYWORD cons,nonn AUTHOR R. J. Mathar, Mar 26 2011 STATUS approved

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Last modified October 14 01:36 EDT 2019. Contains 327994 sequences. (Running on oeis4.)