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A198678
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Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x).
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2
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5, 3, 4, 7, 2, 5, 5, 8, 5, 1, 5, 1, 8, 2, 6, 0, 5, 0, 3, 3, 1, 8, 7, 2, 7, 0, 3, 1, 1, 8, 0, 1, 5, 9, 7, 6, 4, 8, 6, 2, 3, 2, 5, 3, 1, 3, 6, 9, 9, 0, 4, 9, 6, 3, 4, 3, 8, 3, 3, 7, 9, 4, 5, 7, 8, 9, 7, 5, 1, 8, 7, 9, 0, 2, 9, 8, 1, 1, 9, 8, 9, 0, 9, 3, 1, 0, 6, 2, 3, 4, 1, 6, 3, 7, 8, 9, 6, 0, 3
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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=2*pi-2*arctan(r), where r=sqrt(6-sqrt(33))
x=5.347255851518260503318727031180159764862...
min=-1.760172593046086919405184649699273192...
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MATHEMATICA
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f[t_] := Sin[t]; x = Minimize[f[t] + f[2 t], t]
x = N[Minimize[f[t] + f[2 t], t], 110]; u = Part[x, 1]
v = t /. Part[x, 2]
Plot[f[t] + f[2 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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