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A198501 Decimal expansion of x>0 having 3*x^2=sin(x).

%I A198501 #10 Apr 23 2025 12:34:35
%S A198501 3,2,7,4,0,9,7,7,4,2,7,7,0,3,7,5,9,2,3,3,5,6,6,4,0,8,1,0,6,2,1,0,8,2,
%T A198501 9,2,0,9,2,6,4,1,8,9,7,5,1,2,9,1,9,2,7,4,9,4,5,7,5,1,6,6,4,8,7,2,8,9,
%U A198501 7,7,7,6,1,2,5,5,3,7,3,1,1,3,9,4,7,6,3,0,1,8,4,0,5,1,5,1,9,1,5
%N A198501 Decimal expansion of x>0 having 3*x^2=sin(x).
%C A198501 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198501 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198501 0.3274097742770375923356640810621082...
%t A198501 a = 3; b = 0; c = 1;
%t A198501 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198501 Plot[{f[x], g[x]}, {x, -.5, .5}]
%t A198501 r = x /. FindRoot[f[x] == g[x], {x, .32, .33}, WorkingPrecision -> 110]
%t A198501 RealDigits[r] (* A198501 *)
%o A198501 (PARI) solve(x=.3,1,sin(x)-3*x^2) \\ _Charles R Greathouse IV_, Mar 25 2015
%Y A198501 Cf. A198414.
%K A198501 nonn,cons
%O A198501 0,1
%A A198501 _Clark Kimberling_, Oct 25 2011