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A198753 Decimal expansion of the absolute minimum of f(x)+f(2x)+f(3x)+f(4x)+f(5x)+f(6x), where f(x)=sin(x)-cos(x). 3
7, 9, 9, 2, 3, 4, 2, 5, 0, 7, 5, 0, 2, 6, 1, 4, 4, 5, 8, 0, 6, 5, 0, 8, 2, 7, 8, 0, 2, 4, 8, 8, 9, 6, 5, 1, 5, 3, 7, 3, 7, 5, 6, 7, 6, 9, 1, 3, 0, 9, 6, 6, 0, 5, 7, 8, 2, 0, 8, 4, 2, 3, 2, 2, 5, 6, 1, 3, 5, 9, 7, 3, 8, 6, 1, 5, 0, 9, 2, 9, 9, 1, 5, 7, 5, 4, 5, 5, 2, 0, 1, 2, 1, 1, 2, 8, 9, 5, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A198745 for a guide to related sequences.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=6.1023848080560582664529077489592541...

min=-7.9923425075026144580650827802488965...

MATHEMATICA

f[t_] := Sin[t] - Cos[t]

n = 6; 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]

RealDigits[u]  (* A198753 *)

RealDigits[v]  (* A198754 *)

Plot[s[t], {t, -2 Pi, 2 Pi}, PlotRange -> {-9, 5}]

CROSSREFS

Cf. A198745.

Sequence in context: A300444 A021930 A200103 * A244625 A175642 A242612

Adjacent sequences:  A198750 A198751 A198752 * A198754 A198755 A198756

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 29 2011

STATUS

approved

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Last modified September 16 18:56 EDT 2019. Contains 327117 sequences. (Running on oeis4.)