A199074 Decimal expansion of x>0 satisfying 2*x^2+3*sin(x)=2.

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

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: -1.5811135842680126236235133011318966...
positive:  0.5132747777025682345171850420249902...

Mathematica

a = 2; b = 3; 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, -1.6, -1.5}, WorkingPrecision -> 110]
RealDigits[r](* A199073 *)
r = x /. FindRoot[f[x] == g[x], {x, .51, .52}, WorkingPrecision -> 110]
RealDigits[r](* A199074 *)

Crossrefs

Cf. A198866.

Sequence in context: A087262 A082343 A166125 * A343235 A153457 A057778

Adjacent sequences: A199071 A199072 A199073 * A199075 A199076 A199077

Keyword

nonn,cons

Author

Clark Kimberling, Nov 03 2011

Status

approved