A199068 Decimal expansion of x > 0 satisfying 2*x^2+2*sin(x) = 1.

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

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: -1.19608203329713481914562195294104321159720...
positive:  0.37088734011199207060142934573448899294899...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 2; 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, -1.2, -1.1}, WorkingPrecision -> 110]
RealDigits[r]  (* A199067 *)
r = x /. FindRoot[f[x] == g[x], {x, .37, .38}, WorkingPrecision -> 110]
RealDigits[r]  (* A199068 *)

Extensions

a(82) onwards corrected by Georg Fischer, Aug 01 2021