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A198738
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Decimal expansion of the least x>0 that gives the absolute minimum of Decimal expansion of the absolute minimum of f(x)+f(2x)+f(3x), where f(x)=sin(x)+cos(x).
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3
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5, 2, 9, 4, 4, 2, 8, 9, 4, 6, 9, 5, 2, 1, 1, 7, 6, 4, 0, 5, 6, 0, 5, 3, 3, 3, 9, 7, 0, 4, 6, 4, 5, 0, 0, 7, 5, 7, 3, 6, 7, 8, 3, 8, 6, 1, 9, 5, 4, 9, 3, 1, 8, 1, 4, 1, 4, 2, 6, 2, 3, 9, 6, 5, 8, 2, 1, 1, 4, 9, 9, 8, 0, 5, 4, 5, 8, 4, 0, 5, 7, 2, 3, 6, 3, 3, 9, 6, 8, 6, 2, 5, 9, 9, 6, 2, 8, 7, 8
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OFFSET
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1,1
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COMMENTS
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See A198735 for a guide to related sequences.
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LINKS
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EXAMPLE
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x=5.2944289469521176405605333970464500...
min=-2.75873119163855400111893535814922666...
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MATHEMATICA
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f[t_] := Sin[t] + Cos[t]
n = 3; 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}]
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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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