A226656 - OEIS

%I #8 Jun 14 2013 11:00:07

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

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

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

%N Decimal expansion of the 3rd Lebesgue constant L3.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, page 251.

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/LebesgueConstants.html">Lebesgue constants</a>

%F (1/Pi)*integral_{t=0..Pi} abs(sin(7*t/2))/sin(t/2)

%F Equals (3*Pi-14*cos(Pi/14)+70*cos(3*Pi/14)+154*sin(Pi/7))/(21*Pi).

%e 1.7783228615258758629609611889592831354416151914615745080663459912376060551857...

%t RealDigits[(3*Pi-14*Cos[Pi/14]+70*Cos[3*Pi/14]+154*Sin[Pi/7])/(21*Pi), 10, 100][[1]]

%Y Cf. A226654 (L1), A226655 (L2).

%K cons,nonn

%O 1,2

%A _Jean-François Alcover_, Jun 14 2013