|
%I #8 Aug 15 2015 15:19:43
%S 1,4,0,9,3,5,6,2,7,0,3,5,4,6,1,9,7,0,3,6,1,1,3,6,2,9,0,8,7,4,2,3,5,9,
%T 1,0,8,1,7,1,2,1,4,5,5,0,6,4,1,4,8,6,7,9,7,5,3,8,2,7,2,3,9,5,8,9,1,8,
%U 0,0,8,1,5,5,2,0,9,7,7,5,8,7,3,5,5,9,8,5,4,9,8,6,5,8,7,2,3,9,7,8,0,9,5,5,1
%N Decimal expansion of vertex angle A at which A B C-8 omega^3 is a maximum.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/YffConjecture.html">Yff Conjecture</a>
%e 1.4093562703546197036...
%t f[a_] := a^2*(Pi - 2*a) - 8*ArcCot[2*Cot[a] - Cot[2*a]]^3; RealDigits[ a /. FindRoot[f'[a] == 0, {a, 3/2}, WorkingPrecision -> 110], 10, 105] // First (* _Jean-François Alcover_, Feb 07 2013, after _Eric W. Weisstein_ *)
%Y Cf. A133845.
%K nonn,cons
%O 1,2
%A _Eric W. Weisstein_, Sep 26 2007
|
