A199056 Decimal expansion of x<0 satisfying x^2+3*sin(x)=2.

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

Offset

1,1

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: -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: A226131 A375037 A334318 * A377038 A376682 A350004

Adjacent sequences: A199053 A199054 A199055 * A199057 A199058 A199059

Keyword

nonn,cons

Author

Clark Kimberling, Nov 02 2011

Status

approved