%I A093601
%S A093601 6,2,5,7,3,5,8,0,7,2,0,5,2,7,0,0,1,9,0,4,6,4,7,4,6,9,1,8,0,3,2,8,6,0,
%T A093601 2,8,8,7,8,1,2,9,1,8,0,3,1,4,2,2,6,2,6,4,2,8,2,8,9,7,2,1,5,8,6,8,6,0,
%U A093601 5,4,8,3,6,8,2,4,6,3,3,4,8,0,0,5,9,3,6,0,2,2,6,0,6,0,4,4,2,9,6,8,3,1
%N A093601 Decimal expansion of constant in Kac's formula.
%H A093601 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               KacsFormula.html">Kac's Formula</a>
%e A093601 0.625735807...
%t A093601 (2/Pi)*(Log[2] + NIntegrate[Sqrt[1/x^2 - 4*(Exp[ -2*x]/(1 - Exp[ -2*x])^2)] 
               - 1/(x + 1), {x, 0, Infinity}, WorkingPrecision -> 50, PrecisionGoal 
               -> 20])
%Y A093601 Sequence in context: A074458 A010371 A011489 this_sequence A166200 A120832 
               A021988
%Y A093601 Adjacent sequences: A093598 A093599 A093600 this_sequence A093602 A093603 
               A093604
%K A093601 nonn,cons
%O A093601 0,1
%A A093601 Eric Weisstein (eric(AT)weisstein.com), Apr 03, 2004