|
|
A198734
|
|
Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x)+sin(5x)+sin(6x).
|
|
3
|
|
|
5, 9, 2, 4, 3, 5, 6, 3, 8, 0, 4, 5, 6, 0, 4, 6, 8, 8, 2, 3, 5, 2, 8, 6, 2, 5, 6, 3, 3, 7, 6, 7, 6, 3, 5, 6, 7, 3, 7, 6, 5, 6, 2, 5, 0, 2, 5, 9, 9, 7, 8, 1, 6, 6, 0, 3, 4, 9, 9, 0, 5, 8, 9, 3, 0, 5, 5, 7, 5, 1, 9, 9, 6, 8, 1, 3, 8, 5, 2, 5, 9, 6, 0, 7, 7, 5, 1, 0, 2, 3, 2, 8, 1, 7, 8, 5, 3, 1, 5
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
See A198677 for a guide to related sequences.
|
|
LINKS
|
|
|
EXAMPLE
|
x=5.924356380456046882352862563376763567376562...
min=-4.6903618039539417191695677676773074608911...
|
|
MATHEMATICA
|
n = 6; f[t_] = Sin[t]; s[t_] := Sum[f[k*t], {k, 1, n}];
x = N[Minimize[s[t], t], 110]; u = Part[x, 1]
v = t /. Part[x, 2]
Plot[s[t], {t, -3 Pi, 3 Pi}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|