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A198744 Decimal expansion of the least x>0 that gives the absolute minimum of f(x)+f(2x)+f(3x)+f(4x)+f(5x)+f(6x), where f(x)=sin(x)+cos(x). 3
5, 7, 5, 2, 3, 6, 4, 5, 3, 5, 9, 1, 3, 2, 3, 3, 6, 5, 5, 9, 1, 0, 8, 1, 0, 8, 0, 6, 9, 5, 6, 0, 3, 2, 3, 5, 4, 1, 6, 5, 2, 2, 2, 2, 8, 3, 8, 5, 2, 6, 2, 4, 8, 7, 9, 8, 1, 5, 6, 8, 9, 8, 6, 9, 3, 6, 8, 8, 5, 4, 2, 6, 2, 6, 2, 4, 2, 8, 1, 5, 7, 8, 8, 7, 8, 5, 5, 5, 3, 0, 7, 6, 7, 6, 7, 0, 5, 7, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A198735 for a guide to related sequences.

LINKS

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

EXAMPLE

x=5.7523645359132336559108108069560323541652222...

min=-4.7346877027473679719552473484659897598753...

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] (* A198743 *)

RealDigits[v] (* A198744 *)

Plot[s[t], {t, -2 Pi, 2 Pi}, PlotRange -> {-5, 8}]

CROSSREFS

Cf. A198735.

Sequence in context: A226021 A242059 A178668 * A201944 A165242 A104542

Adjacent sequences:  A198741 A198742 A198743 * A198745 A198746 A198747

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 29 2011

STATUS

approved

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Last modified September 20 23:04 EDT 2021. Contains 347596 sequences. (Running on oeis4.)