%I #6 Feb 07 2025 16:44:05
%S 6,4,4,0,9,2,5,3,0,1,9,3,0,7,2,5,5,8,9,9,1,2,8,9,2,1,5,2,5,1,3,0,0,8,
%T 3,6,9,5,1,1,4,0,8,1,8,5,6,8,3,5,4,0,8,9,2,3,1,0,7,0,2,1,6,4,8,9,3,8,
%U 1,4,9,6,2,6,8,7,7,2,8,8,7,1,2,1,5,7,8,7,2,4,5,7,7,4,4,6,7,6,0
%N Decimal expansion of x>0 having 3*x^2-x=sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.644092530193072558991289215251300836951140...
%t a = 3; b = -1; c = 1;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.1, 1}]
%t r = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198550 *)
%Y Cf. A198414.
%K nonn,cons,changed
%O 0,1
%A _Clark Kimberling_, Oct 26 2011