A199150 - OEIS

%I #8 Jan 30 2025 12:11:09

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

%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: -1.1415298646423925627075066056294867784...

%e positive:  0.86401127242790345732955031503590029470...

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

%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 /. FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A199150 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .86, .87}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A199151 *)

%Y Cf. A198866.

%K nonn,cons,changed

%O 1,3

%A _Clark Kimberling_, Nov 03 2011