%I #7 Aug 09 2021 14:12:47

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

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

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

%N Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=3.

%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.7907342109672369783571718514612879363004663700...

%t a = 3; b = 2; c = 3;

%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c

%t Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199392 *)

%Y Cf. A199370.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011