A199073 Decimal expansion of x<0 satisfying 2*x^2+3*sin(x)=2.

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

Offset: 1

Author

Clark Kimberling, Nov 03 2011

Keywords

• nonn
• cons

Comments

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

Examples

			negative: -1.5811135842680126236235133011318966...
positive:  0.5132747777025682345171850420249902...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 2; b = 3; c = 2;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.6, -1.5}, WorkingPrecision -> 110]
RealDigits[r](* A199073 *)
r = x /. FindRoot[f[x] == g[x], {x, .51, .52}, WorkingPrecision -> 110]
RealDigits[r](* A199074 *)

PARI

solve(x=1,2, 2*x^2-3*sin(x)-2) \\ Charles R Greathouse IV, Dec 06 2016