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A198930 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=3.

%I A198930 #8 Feb 07 2025 17:51:41
%S A198930 1,1,3,2,6,3,0,8,4,9,4,8,2,7,8,0,7,0,8,0,8,7,8,0,0,6,5,1,5,7,2,8,7,7,
%T A198930 8,9,8,9,6,0,2,6,5,9,4,4,7,7,7,6,8,1,5,6,9,7,7,2,0,5,3,7,5,7,1,5,4,8,
%U A198930 1,8,2,3,7,8,8,7,6,0,3,2,9,6,9,3,2,9,4,5,5,2,3,4,1,5,2,6,4,9,7
%N A198930 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=3.
%C A198930 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198930 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198930 1.132630849482780708087800651572877898960265...
%t A198930 a = 3; b = -2; c = 3;
%t A198930 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198930 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198930 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
%t A198930 RealDigits[r] (* A198930 *)
%Y A198930 Cf. A198755.
%K A198930 nonn,cons
%O A198930 1,3
%A A198930 _Clark Kimberling_, Oct 31 2011