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A198749
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Decimal expansion of the absolute minimum of f(x)+f(2x)+f(3x)+f(4x), where f(x)=sin(x)-cos(x).
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3
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5, 3, 7, 1, 0, 1, 6, 7, 7, 8, 2, 4, 5, 6, 8, 0, 5, 8, 5, 8, 0, 1, 2, 9, 8, 6, 6, 0, 9, 1, 4, 4, 0, 4, 4, 5, 8, 3, 3, 7, 9, 1, 9, 2, 4, 8, 6, 2, 4, 4, 2, 0, 3, 4, 4, 0, 6, 5, 5, 6, 3, 3, 9, 9, 9, 2, 1, 7, 1, 4, 2, 2, 7, 6, 1, 9, 5, 3, 1, 4, 9, 6, 7, 0, 8, 7, 2, 0, 5, 9, 1, 1, 2, 6, 3, 7, 1, 8, 8
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OFFSET
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1,1
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COMMENTS
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See A198745 for a guide to related sequences.
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LINKS
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EXAMPLE
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x=6.02199019639758406905296413941959795147011...
min=-5.37101677824568058580129866091440445833...
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MATHEMATICA
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f[t_] := Sin[t] - Cos[t]
n = 4; 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, -2 Pi, 2 Pi}, PlotRange -> {-6, 4}]
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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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