A199154 - OEIS

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

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

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

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

%N Decimal expansion of x<0 satisfying 3*x^2+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: -1.126299940993877523992867733641868507222...

%e positive:  0.559372170813127047765629647326548920708...

%t a = 3; b = 2; 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 /. FindRoot[f[x] == g[x], {x, -1.13, -1.12}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A199154 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .55, .56}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A199155 *)

%Y Cf. A198866.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 03 2011