A199057 Decimal expansion of x>0 satisfying x^2+3*sin(x)=2.

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

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: -2.131047764056355710001133695358553...
positive:  0.58532056434199307654267468696737728...

Mathematica

a = 1; b = 3; c = 2;
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, -2.2, -2.1}, WorkingPrecision -> 110]
RealDigits[r]    (* A199056 *)
r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
RealDigits[r]    (* A199057 *)

Crossrefs

Cf. A198866.

Sequence in context: A299447 A300085 A186691 * A090550 A171819 A171541

Adjacent sequences: A199054 A199055 A199056 * A199058 A199059 A199060

Keyword

nonn,cons

Author

Clark Kimberling, Nov 02 2011

Status

approved