Search: id:A096623
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%I A096623
%S A096623 1,4,0,0,1,0,1,0,1,1,4,3,2,8,6,9,2,6,6,8,6,9,1,7,3,0,5,2,3,4,2,9,9,7,3,
%T A096623 3,1,7,7,5,2,7,9,2,8,1,2,7,0,6,5,8,2,8,9,4,8,9,4,6,8,7,4,3,1,1,3,0,4,9,
%U A096623 1,4,9,9,5,1,6,1,3,6,1,0,2,7,6,0,2,6,5,3,2,0,6,4,8,6,6,6,9,6,3,4,3,4,5
%N A096623 Decimal expansion of Integrate_{t=2..Infinity} 1/(t Log(t)(t^2-1)).
%C A096623 Maximum value of the integral in the Riemann prime counting function.
%H A096623 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               RiemannPrimeCountingFunction.html">Riemann Prime Counting Function</
               a>
%e A096623 0.140010101...
%t A096623 RealDigits[ NIntegrate[1/(t Log[t](t^2 - 1)), {t, 2, Infinity}, MaxRecursion 
               -> 8, AccuracyGoal -> 115, WorkingPrecision -> 128]][[1]] (from Robert 
               G. Wilson v Jul 05 2004)
%Y A096623 Sequence in context: A101193 A013334 A156393 this_sequence A152889 A151905 
               A078669
%Y A096623 Adjacent sequences: A096620 A096621 A096622 this_sequence A096624 A096625 
               A096626
%K A096623 nonn,cons
%O A096623 0,2
%A A096623 Eric Weisstein (eric(AT)weisstein.com), Jul 01, 2004

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