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A198734 Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x)+sin(5x)+sin(6x). 3
5, 9, 2, 4, 3, 5, 6, 3, 8, 0, 4, 5, 6, 0, 4, 6, 8, 8, 2, 3, 5, 2, 8, 6, 2, 5, 6, 3, 3, 7, 6, 7, 6, 3, 5, 6, 7, 3, 7, 6, 5, 6, 2, 5, 0, 2, 5, 9, 9, 7, 8, 1, 6, 6, 0, 3, 4, 9, 9, 0, 5, 8, 9, 3, 0, 5, 5, 7, 5, 1, 9, 9, 6, 8, 1, 3, 8, 5, 2, 5, 9, 6, 0, 7, 7, 5, 1, 0, 2, 3, 2, 8, 1, 7, 8, 5, 3, 1, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A198677 for a guide to related sequences.

LINKS

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

EXAMPLE

x=5.924356380456046882352862563376763567376562...

min=-4.6903618039539417191695677676773074608911...

MATHEMATICA

n = 6; f[t_] = Sin[t]; 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]  (* A198733 *)

RealDigits[v] (* A198734 *)

Plot[s[t], {t, -3 Pi, 3 Pi}]

CROSSREFS

Cf. A198677.

Sequence in context: A021632 A248191 A323985 * A200009 A303662 A011494

Adjacent sequences:  A198731 A198732 A198733 * A198735 A198736 A198737

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 29 2011

STATUS

approved

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Last modified September 20 20:12 EDT 2019. Contains 327247 sequences. (Running on oeis4.)