A199072 Decimal expansion of x>0 satisfying 2*x^2+3*sin(x)=1.

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

Offset: 0

Author

Clark Kimberling, Nov 02 2011

Keywords

• nonn
• cons

Comments

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

Examples

			negative: -1.40710663976303990599616688903595712850...
positive:  0.28352555144412274861845117327862135032...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 2; b = 3; 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, -1.5, -1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A199071 *)
r = x /. FindRoot[f[x] == g[x], {x, .28, .29}, WorkingPrecision -> 110]
RealDigits[r] (* A199072 *)