A199154 Decimal expansion of x<0 satisfying 3*x^2+2*sin(x)=2.

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

Offset

1,3

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

negative: -1.126299940993877523992867733641868507222...
positive:  0.559372170813127047765629647326548920708...

Mathematica

a = 3; b = 2; 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, -1.13, -1.12}, WorkingPrecision -> 110]
RealDigits[r]  (* A199154 *)
r = x /. FindRoot[f[x] == g[x], {x, .55, .56}, WorkingPrecision -> 110]
RealDigits[r]  (* A199155 *)

Crossrefs

Cf. A198866.

Sequence in context: A153190 A010240 A369994 * A267859 A002172 A126289

Adjacent sequences: A199151 A199152 A199153 * A199155 A199156 A199157

Keyword

nonn,cons

Author

Clark Kimberling, Nov 03 2011

Status

approved