|
| |
|
|
A199174
|
|
Decimal expansion of x<0 satisfying x^2+x*cos(x)=3.
|
|
3
|
|
|
|
1, 6, 7, 8, 9, 2, 9, 7, 6, 3, 4, 9, 1, 0, 9, 4, 5, 1, 9, 5, 9, 3, 3, 8, 3, 2, 0, 1, 1, 6, 3, 4, 3, 2, 9, 9, 8, 5, 9, 3, 3, 0, 5, 0, 1, 6, 7, 2, 8, 7, 8, 3, 6, 4, 3, 7, 0, 8, 7, 6, 3, 6, 2, 7, 1, 0, 4, 2, 4, 6, 7, 1, 9, 7, 2, 8, 5, 9, 8, 6, 2, 7, 2, 2, 7, 8, 3, 4, 6, 5, 3, 5, 9, 3, 6, 9, 9, 0, 0
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
COMMENTS
|
See A199170 for a guide to related sequences. The Mathematica program includes a graph.
|
|
|
LINKS
|
Table of n, a(n) for n=0..98.
|
|
|
EXAMPLE
|
negative: -1.67892976349109451959338320116343299...
positive: 1.90253038503823570345779582773972676...
|
|
|
MATHEMATICA
|
a = 1; b = 1; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.7, -1.6}, WorkingPrecision -> 110]
RealDigits[r] (* A199174 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.90, 1.91}, WorkingPrecision -> 110]
RealDigits[r] (* A199175 *)
|
|
|
CROSSREFS
|
Cf. A199170.
Sequence in context: A120207 A202703 A090928 * A153604 A168679 A102304
Adjacent sequences: A199171 A199172 A199173 * A199175 A199176 A199177
|
|
|
KEYWORD
|
nonn,cons
|
|
|
AUTHOR
|
Clark Kimberling, Nov 04 2011
|
|
|
STATUS
|
approved
|
| |
|
|
