%I A114603
%S A114603 0,1,5,7,6,5,8,6,3,7,3,0,3,0,4,4,2,1,6,6,7,5,6,4,9,9,4,6,5,1,1,1,7,1,8,
               5,
%T A114603 3,4,3,9,7,4,1,3,8,3,7,7,2,2,4,6,0,9,4,3,3,6,0,3,6,0,0,6,9,6,8,8,4,9,8,
%U A114603 3,5,1,0,6,2,8,6,2,2,5,8,2,0,9,9,6,5,1,0,9,5,4,4,0,0,8,8,7,8,0,0
%N A114603 Decimal expansion of constant appearing in asymptotic variance of estimator 
               for pi in the Buffon-Laplace needle problem on a triangular grid 
               with l/d=1.
%H A114603 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Buffon-LaplaceNeedleProblem.html">Buffon-Laplace Needle Problem</
               a>
%F A114603 (2*(3*Sqrt[3] - 4*Pi)*(3*Sqrt[3] - Pi)*Pi^2*(-8 + Sqrt[3] + 2*Pi)*(-24 
               + 3*Sqrt[3] + 5*Pi))/(3*(-3618 + 864*Sqrt[3] + 828*Pi + 354*Sqrt[3]*Pi 
               - 269*Pi^2 + 32*Sqrt[3]*Pi^2))
%e A114603 0.0157658637...
%Y A114603 Sequence in context: A145577 A144478 A059249 this_sequence A100554 A138306 
               A154802
%Y A114603 Adjacent sequences: A114600 A114601 A114602 this_sequence A114604 A114605 
               A114606
%K A114603 nonn,cons,easy
%O A114603 0,3
%A A114603 Eric Weisstein (eric(AT)weisstein.com), Dec 14, 2005