A199153 Decimal expansion of x>0 satisfying 3*x^2+2*sin(x)=1.

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

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:  0.336482701923352815770394937611067781443...
		

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 *)