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A199387 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=1.

%I A199387 #8 Feb 07 2025 19:56:17
%S A199387 5,0,2,6,1,8,9,1,1,5,3,2,6,5,2,2,1,2,7,7,8,6,8,6,3,1,1,9,2,1,3,7,4,4,
%T A199387 6,1,3,0,5,5,0,5,5,8,8,6,4,4,9,4,2,7,4,3,4,1,1,0,2,1,8,2,9,2,9,4,8,6,
%U A199387 1,1,7,0,0,3,5,3,1,0,1,2,7,1,2,5,7,8,9,6,0,5,6,6,4,9,7,3,6,3,3
%N A199387 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=1.
%C A199387 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199387 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199387 0.50261891153265221277868631192137446130550...
%t A199387 a = 3; b = 1; c = 1;
%t A199387 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199387 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199387 r = x /. FindRoot[f[x] == g[x], {x, .50, .51}, WorkingPrecision -> 110]
%t A199387 RealDigits[r]   (* A199387 *)
%Y A199387 Cf. A199370.
%K A199387 nonn,cons
%O A199387 0,1
%A A199387 _Clark Kimberling_, Nov 06 2011