A199155 Decimal expansion of x>0 satisfying 3*x^2+2*sin(x)=2.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Index entries for transcendental numbers.

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: A019843 A335319 A046567 * A243447 A046600 A344327

Adjacent sequences: A199152 A199153 A199154 * A199156 A199157 A199158

Keyword

nonn,cons

Author

Clark Kimberling, Nov 03 2011

Status

approved