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%I #5 Mar 30 2012 18:57:54
%S 1,2,5,6,7,7,6,8,9,5,9,6,1,2,7,1,7,3,0,4,4,1,8,9,1,1,5,1,2,6,5,6,7,1,
%T 8,6,8,6,7,1,2,7,1,7,8,6,2,1,0,4,6,3,3,2,4,6,2,1,8,6,5,9,0,3,4,3,3,6,
%U 9,4,8,7,3,8,0,3,2,5,4,8,4,3,7,5,0,7,6,0,9,2,1,3,6,9,6,0,5,0,9
%N Decimal expansion of x>0 having 2*x^2-x=2*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.2567768959612717304418911512656718686...
%t a = 2; b = -1; c = 2;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.1, 1.5}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.25, 1.26}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198547 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 26 2011