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A198730
Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x).
3
5, 7, 6, 4, 5, 6, 9, 4, 4, 5, 6, 1, 7, 1, 8, 1, 1, 0, 8, 6, 3, 3, 7, 9, 4, 8, 7, 6, 4, 5, 5, 7, 3, 4, 7, 7, 4, 7, 2, 5, 5, 1, 0, 6, 9, 5, 3, 9, 7, 7, 7, 6, 7, 1, 6, 4, 7, 5, 1, 4, 4, 9, 7, 9, 5, 7, 0, 5, 7, 3, 4, 3, 7, 0, 6, 2, 0, 9, 4, 3, 8, 0, 9, 8, 0, 3, 6, 9, 6, 4, 6, 4, 2, 4, 9, 8, 0, 1, 9
OFFSET
1,1
COMMENTS
See A198677 for a guide to related sequences.
EXAMPLE
x=5.764569445617181108633794876455734774725510...
min=-3.232384871111452330884269520493428181450...
MATHEMATICA
n = 4; 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]
RealDigits[u] (* A198729 *)
RealDigits[v] (* A198730 *)
Plot[s[t], {t, -3 Pi, 3 Pi}]
CROSSREFS
Cf. A198677.
Sequence in context: A196615 A374967 A305200 * A318733 A195444 A114603
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 29 2011
STATUS
approved