|
|
A198098
|
|
Decimal expansion of least x having x^2-3x=-2*cos(x).
|
|
3
|
|
|
6, 7, 2, 2, 5, 5, 1, 6, 7, 7, 3, 8, 2, 5, 6, 8, 8, 0, 7, 4, 8, 6, 0, 4, 6, 1, 7, 8, 7, 0, 3, 2, 5, 9, 7, 6, 6, 5, 7, 5, 0, 9, 3, 6, 8, 2, 1, 3, 9, 8, 1, 8, 9, 5, 5, 0, 1, 7, 7, 5, 2, 3, 5, 7, 8, 1, 1, 2, 9, 5, 4, 4, 7, 2, 1, 2, 4, 8, 1, 8, 8, 7, 8, 6, 0, 8, 5, 0, 8, 3, 4, 5, 5, 2, 9, 9, 8, 0, 4
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
See A197737 for a guide to related sequences. The Mathematica program includes a graph.
|
|
LINKS
|
|
|
EXAMPLE
|
least x: 0.672255167738256880748604617870325976...
greatest x: 3.525867901227958617954825081711394...
|
|
MATHEMATICA
|
a = 1; b = -3; c = -2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, 0, 4}]
r1 = x /. FindRoot[f[x] == g[x], {x, .65, .68}, WorkingPrecision -> 110]
r2 = x /. FindRoot[f[x] == g[x], {x, 3.5, 3.6}, WorkingPrecision -> 110]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|