cp's OEIS Frontend

A199150 Decimal expansion of x<0 satisfying 3*x^2+sin(x)=3.

%I A199150 #9 Feb 07 2025 16:44:05
%S A199150 1,1,4,1,5,2,9,8,6,4,6,4,2,3,9,2,5,6,2,7,0,7,5,0,6,6,0,5,6,2,9,4,8,6,
%T A199150 7,7,8,4,6,7,2,7,2,6,6,3,6,4,1,5,7,9,5,5,0,7,5,8,6,1,6,9,7,2,5,6,0,8,
%U A199150 6,3,1,1,9,6,7,3,5,7,4,4,7,8,8,7,7,9,0,4,6,9,5,4,3,7,2,5,7,8,4
%N A199150 Decimal expansion of x<0 satisfying 3*x^2+sin(x)=3.
%C A199150 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199150 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199150 negative: -1.1415298646423925627075066056294867784...
%e A199150 positive:  0.86401127242790345732955031503590029470...
%t A199150 a = 3; b = 1; c = 3;
%t A199150 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199150 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199150 r = x /. FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]
%t A199150 RealDigits[r]   (* A199150 *)
%t A199150 r = x /. FindRoot[f[x] == g[x], {x, .86, .87}, WorkingPrecision -> 110]
%t A199150 RealDigits[r]   (* A199151 *)
%Y A199150 Cf. A198866.
%K A199150 nonn,cons
%O A199150 1,3
%A A199150 _Clark Kimberling_, Nov 03 2011