A199052 Decimal expansion of least x satisfying x^2+3*sin(x)=-1.

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

Offset: 1

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

			least: -1.39840306895670428191362107010033086...
greatest:  -0.3958092344691378375825479943405218925...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 1; b = 3; c = -1;
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, -1.4, -1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A199052 *)
r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]
RealDigits[r] (* A199053 *)

Extensions

a(92) onwards corrected by Georg Fischer, Aug 01 2021