A199064 Decimal expansion of x>0 satisfying 2*x^2+sin(x)=2.

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

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: -1.21165128243157712269097010844196865387...
positive:  0.80067830457009112112413406604532756205...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 2; b = 1; 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, -1.3, -1.2}, WorkingPrecision -> 110]
RealDigits[r] (* A199063 *)
r = x /. FindRoot[f[x] == g[x], {x, .80, .81}, WorkingPrecision -> 110]
RealDigits[r] (* A199064 *)