A093821 - OEIS

%I #8 Jan 23 2013 10:47:23

%S 8,4,5,2,9,9,4,6,1,6,2,0,7,4,8,4,7,0,9,8,1,7,0,2,4,3,8,9,9,6,0,8,5,0,

%T 8,8,7,0,4,7,9,6,4,9,7,4,5,9,7,4,6,2,4,7,9,6,2,7,9,5,3,4,7,0,3,2,0,4,

%U 4,6,5,5,3,9,4,1,3,3,3,0,8,6,1,2,5,6,9,2,0,8,8,2,8,5,0,0,9,4,9,5,4,9

%N Decimal expansion of (2*(3 - sqrt(3)))/3.

%C Area of lamina found by Pal in the Lebesgue minimal problem.

%C This appears also as the ratio r_3/r_4 of the outer radii of a regular triangle circumscribed by a regular quadrangle such that they share one vertex and the other two vertices of the triangle touch two sides of the quadrangle. The center of the quadrangle is displaced from the center of the triangle by d/r_4 = 1-2/sqrt(3) = 0.154700.. (see A020832). # _R. J. Mathar_, Jan 22 2013

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LebesgueMinimalProblem.html">Lebesgue Minimal Problem</a>

%e 0.845299461...

%p evalf(2*(1-1/sqrt(3))) ; # _R. J. Mathar_, Jan 22 2013

%Y Cf. A010527, A093822.

%K nonn,cons,easy

%O 0,1

%A _Eric W. Weisstein_, Apr 16 2004