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A199662 Decimal expansion of x<0 satisfying 3*x+cos(x)=0.

%I A199662 #8 Feb 07 2025 19:51:27
%S A199662 3,1,6,7,5,0,8,2,8,7,7,1,2,2,1,1,7,1,8,8,6,7,9,6,1,8,0,6,1,0,9,6,1,7,
%T A199662 9,7,9,9,7,1,7,1,8,9,4,6,2,9,3,3,7,5,0,8,2,0,8,4,6,3,7,9,0,0,9,7,7,1,
%U A199662 5,3,5,3,6,2,0,4,8,6,3,3,7,5,0,5,6,7,0,8,2,3,5,6,1,1,2,2,9,4,0
%N A199662 Decimal expansion of x<0 satisfying 3*x+cos(x)=0.
%C A199662 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199662 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199662 -0.3167508287712211718867961806109617979...
%t A199662 a = 3; b = 1; c = 0;
%t A199662 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199662 Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
%t A199662 r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]
%t A199662 RealDigits[r]  (* A199662 *)
%Y A199662 Cf. A199597.
%K A199662 nonn,cons
%O A199662 0,1
%A A199662 _Clark Kimberling_, Nov 09 2011