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A198728 Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x)+sin(3x). 1
5, 6, 1, 5, 8, 9, 4, 2, 3, 5, 6, 5, 5, 1, 1, 3, 7, 3, 0, 4, 3, 0, 5, 1, 0, 6, 1, 3, 0, 2, 9, 7, 7, 0, 5, 2, 5, 7, 6, 8, 4, 2, 3, 2, 5, 4, 2, 6, 3, 1, 8, 2, 4, 8, 9, 8, 0, 3, 8, 4, 3, 5, 2, 7, 4, 2, 3, 0, 7, 3, 8, 9, 7, 4, 8, 5, 0, 8, 7, 6, 9, 5, 9, 2, 4, 5, 1, 2, 5, 7, 6, 5, 1, 3, 7, 6, 3, 8, 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=5.615894235655113730430510613029770525768423...

min=-2.499607604320056604368126285618043218243...

MATHEMATICA

n = 3; 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]  (* A198679 *)

RealDigits[v] (* A198680 *)

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

(* Second program: *)

RealDigits[3*Pi/2 + ArcSin[Root[-1 - 4x + 2x^2 + 6x^3, 3]], 10, 99] // First (* Jean-Fran├žois Alcover, Feb 15 2013 *)

CROSSREFS

Cf. A198677.

Sequence in context: A198419 A323738 A222133 * A238135 A195449 A020798

Adjacent sequences:  A198725 A198726 A198727 * A198729 A198730 A198731

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 29 2011

STATUS

approved

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Last modified May 28 15:55 EDT 2020. Contains 334684 sequences. (Running on oeis4.)