A197811 revision #4
|
| |
|
|
A197811
|
|
Decimal expansion of x<0 having x^2+x=3*cos(x).
|
|
3
|
|
|
|
1, 3, 8, 9, 4, 3, 7, 4, 5, 2, 7, 0, 4, 8, 2, 8, 3, 8, 9, 2, 9, 1, 4, 9, 8, 2, 5, 1, 4, 2, 9, 1, 8, 9, 2, 5, 5, 9, 6, 3, 3, 7, 3, 5, 7, 5, 8, 4, 7, 5, 0, 8, 3, 7, 1, 4, 1, 5, 6, 7, 2, 2, 7, 2, 9, 3, 7, 0, 4, 8, 1, 2, 4, 4, 7, 1, 1, 8, 9, 3, 8, 8, 4, 3, 6, 2, 8, 7, 1, 0, 6, 3, 1, 1, 2, 3, 7, 7, 6
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
See A197737 for a guide to related sequences. The Mathematica program includes a graph.
|
|
|
LINKS
|
|
|
|
EXAMPLE
|
negative: -1.38943745270482838929149825142918925596337...
positive: 0.9297344303618125096887004946976108824038...
|
|
|
MATHEMATICA
|
a = 1; b = 1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2, 1.5}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1.4, -1.3}, WorkingPrecision -> 110]
r2 = x /. FindRoot[f[x] == g[x], {x, .92, .93}, WorkingPrecision -> 110]
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
Clark Kimberling (ck6(AT)evansville.edu), Oct 20 2011
|
|
|
STATUS
|
approved
|
| |
|
|
