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A198729
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Decimal expansion of the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x).
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3
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3, 2, 3, 2, 3, 8, 4, 8, 7, 1, 1, 1, 1, 4, 5, 2, 3, 3, 0, 8, 8, 4, 2, 6, 9, 5, 2, 0, 4, 9, 3, 4, 2, 8, 1, 8, 1, 4, 5, 0, 4, 2, 7, 6, 5, 6, 8, 5, 3, 3, 0, 2, 8, 0, 0, 1, 4, 8, 0, 2, 9, 6, 7, 4, 9, 4, 6, 0, 8, 0, 6, 9, 5, 9, 9, 1, 5, 5, 8, 6, 2, 9, 9, 9, 1, 3, 3, 2, 0, 8, 8, 0, 1, 3, 2, 2, 7, 4, 7
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OFFSET
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1,1
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COMMENTS
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See A198677 for a guide to related sequences.
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LINKS
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EXAMPLE
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x=5.764569445617181108633794876455734774725510...
min=-3.232384871111452330884269520493428181450...
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MATHEMATICA
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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]
Plot[s[t], {t, -3 Pi, 3 Pi}]
RealDigits[Minimize[Plus@@Sin[x*Range[4]], x], 10, 100][[1, 1]] (* Harvey P. Dale, Dec 14 2020 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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