A199152 Decimal expansion of x<0 satisfying 3*x^2+2*sin(x)=1.

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

Offset: 0

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: -0.93194453919657480875799482221903577743...
positive:  0.33648270192335281577039493761106778144...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 3; b = 2; c = 1;
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, -.94, -.93}, WorkingPrecision -> 110]
RealDigits[r]  (* A199152 *)
r = x /. FindRoot[f[x] == g[x], {x, .33, .34}, WorkingPrecision -> 110]
RealDigits[r]  (* A199153 *)