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A198746
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Decimal expansion of the least x>0 that gives the absolute minimum of f(x)+f(2x), where f(x)=sin(x)-cos(x).
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1
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5, 8, 1, 2, 7, 3, 2, 1, 6, 9, 1, 3, 7, 8, 8, 4, 4, 4, 5, 4, 9, 2, 8, 7, 1, 8, 3, 0, 0, 0, 1, 5, 4, 2, 5, 3, 1, 6, 0, 0, 3, 2, 3, 3, 4, 3, 2, 4, 5, 2, 6, 8, 6, 6, 5, 4, 9, 5, 6, 0, 4, 5, 6, 1, 4, 8, 9, 0, 5, 5, 3, 3, 6, 3, 3, 5, 5, 6, 4, 6, 8, 5, 5, 0, 2, 4, 0, 2, 3, 7, 5, 9, 9, 0, 2, 8, 8, 3, 9
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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=5.81273216913788444549287183000...
min=-2.74180141084680805127601571...
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MATHEMATICA
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f[t_] := Sin[t] + Cos[t]
x = Minimize[f[t] + f[2 t], t]
N[x, 30]
(RealDigits[N[{#1[[1]], t /. #1[[2]]}, 110]] &)[x]
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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