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A199379 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=1.

%I A199379 #8 Feb 07 2025 16:44:05
%S A199379 5,8,2,7,8,1,0,7,2,5,1,9,8,0,9,7,6,1,0,6,7,1,4,0,6,0,6,2,2,3,0,5,7,2,
%T A199379 5,4,5,3,9,9,5,2,7,7,4,4,8,6,2,8,8,8,0,0,5,1,3,3,2,8,7,1,9,4,1,4,4,6,
%U A199379 5,4,3,9,2,8,8,0,3,9,7,3,8,7,4,7,5,6,2,2,5,0,7,1,4,6,4,3,1,2,5
%N A199379 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=1.
%C A199379 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199379 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199379 0.58278107251980976106714060622305725453...
%t A199379 a = 2; b = 1; c = 1;
%t A199379 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199379 Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
%t A199379 r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
%t A199379 RealDigits[r]   (* A199379 *)
%Y A199379 Cf. A199370.
%K A199379 nonn,cons
%O A199379 0,1
%A A199379 _Clark Kimberling_, Nov 05 2011