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

%I #9 Aug 01 2021 11:31:46

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

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

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

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

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e 0.60648105654655170006150508539830080...

%t a = 3; b = 1; c = 3;

%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, .6, .61}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198499 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 25 2011

%E a(90) onwards corrected by _Georg Fischer_, Aug 01 2021