A199157 Decimal expansion of x>0 satisfying 3*x^2+2*sin(x)=3.

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

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.

Example

negative: -1.280117027823592900045689845558554979655...
positive:  0.741456706769858920159460956349108949987...

Mathematica

a = 3; b = 2; c = 3;
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, -1.29, -1.28}, WorkingPrecision -> 110]
RealDigits[r]   (* A199156 *)
r = x /. FindRoot[f[x] == g[x], {x, .74, .75}, WorkingPrecision -> 110]
RealDigits[r]  (* A199157 *)

Crossrefs

Cf. A198866.

Sequence in context: A225463 A010138 A371851 * A376845 A328416 A372275

Adjacent sequences: A199154 A199155 A199156 * A199158 A199159 A199160

Keyword

nonn,cons

Author

Clark Kimberling, Nov 03 2011

Status

approved