# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a226656 Showing 1-1 of 1 %I A226656 #8 Jun 14 2013 11:00:07 %S A226656 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 A226656 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 A226656 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 A226656 Decimal expansion of the 3rd Lebesgue constant L3. %D A226656 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, page 251. %H A226656 Eric Weisstein's MathWorld, Lebesgue constants %F A226656 (1/Pi)*integral_{t=0..Pi} abs(sin(7*t/2))/sin(t/2) %F A226656 Equals (3*Pi-14*cos(Pi/14)+70*cos(3*Pi/14)+154*sin(Pi/7))/(21*Pi). %e A226656 1.7783228615258758629609611889592831354416151914615745080663459912376060551857... %t A226656 RealDigits[(3*Pi-14*Cos[Pi/14]+70*Cos[3*Pi/14]+154*Sin[Pi/7])/(21*Pi), 10, 100][[1]] %Y A226656 Cf. A226654 (L1), A226655 (L2). %K A226656 cons,nonn %O A226656 1,2 %A A226656 _Jean-François Alcover_, Jun 14 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE