A199078 - OEIS

%I #8 Feb 07 2025 16:44:05

%S 9,7,0,4,1,5,8,4,1,6,3,5,5,9,0,4,4,7,8,4,3,5,9,2,6,5,7,4,3,0,8,4,4,1,

%T 0,3,4,5,4,9,4,2,7,9,9,4,0,0,0,3,2,1,3,3,6,7,2,4,8,1,7,1,3,3,1,9,1,9,

%U 8,1,9,3,6,7,1,2,3,6,1,7,1,0,9,3,6,6,9,8,9,9,0,3,2,9,1,8,3,6,8

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

%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e negative: -0.97041584163559044784359265743084410...

%e positive:  0.676701594073077874194855720384016697...

%t a = 3; b = 1; c = 2;

%t f[x_] := a*x^2 + b*Sin[x]; g[x_] := c

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /.

%t   FindRoot[f[x] == g[x], {x, -.98, -.97}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A199078 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .67, .68}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A199079 *)

%Y Cf. A198866.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 03 2011