A199161 Decimal expansion of x>0 satisfying 3*x^2+3*sin(x)=2.

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

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: -1.27394191941158332703408474342055643506123...
positive:  0.466106421683196411148081035304500630437462...

Mathematica

a = 3; 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, -1.3, -1.2}, WorkingPrecision -> 110]
RealDigits[r]  (* A199160 *)
r = x /. FindRoot[f[x] == g[x], {x, .46, .47}, WorkingPrecision -> 110]
RealDigits[r]  (* A199161 *)

Crossrefs

Cf. A198866.

Sequence in context: A009456 A009465 A324942 * A329217 A352592 A119858

Adjacent sequences: A199158 A199159 A199160 * A199162 A199163 A199164

Keyword

nonn,cons

Author

Clark Kimberling, Nov 03 2011

Status

approved