cp's OEIS Frontend

A199050 Decimal expansion of x<0 satisfying x^2+2*sin(x)=3.

%I A199050 #8 Feb 07 2025 16:44:05
%S A199050 2,1,5,9,4,7,8,2,9,6,9,7,4,1,1,6,0,1,8,2,6,8,9,2,3,8,7,8,5,2,4,6,8,9,
%T A199050 0,0,9,2,9,0,4,7,3,6,2,4,8,0,8,4,3,6,6,7,3,1,0,5,5,8,9,2,8,8,0,1,0,2,
%U A199050 8,9,1,3,3,4,9,1,8,2,7,5,7,1,4,6,3,4,1,3,1,8,3,7,0,2,2,1,5,6,4
%N A199050 Decimal expansion of x<0 satisfying x^2+2*sin(x)=3.
%C A199050 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199050 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199050 negative: -2.159478296974116018268923878524689009...
%e A199050 positive:  1.1024409927824745029005123269585791156...
%t A199050 a = 1; b = 2; c = 3;
%t A199050 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199050 Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
%t A199050 r = x /. FindRoot[f[x] == g[x], {x, -2.2, -2.1}, WorkingPrecision -> 110]
%t A199050 RealDigits[r] (* A199050 *)
%t A199050 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
%t A199050 RealDigits[r](* A199051 *)
%Y A199050 Cf. A198866.
%K A199050 nonn,cons
%O A199050 1,1
%A A199050 _Clark Kimberling_, Nov 02 2011