A199059 Decimal expansion of x > 0 satisfying x^2+3*sin(x) = 3.

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

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: -2.2919650412674286490951331183944433...
positive:  0.8564305559075611794636325387524829760...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 1; b = 3; c = 3;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -2.3, -2.2}, WorkingPrecision -> 110]
RealDigits[r]  (* A199058 *)
r = x /. FindRoot[f[x] == g[x], {x, .85, .86}, WorkingPrecision -> 110]
RealDigits[r] (* A199059 *)

Extensions

a(97), a(98) corrected by Georg Fischer, Aug 01 2021