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 A198672 Decimal expansion of the least x>0 that gives the absolute minimum of cos(x)+cos(2x)+cos(3x)+cos(4x). 3
 1, 0, 0, 2, 7, 5, 0, 0, 1, 9, 2, 2, 7, 3, 0, 0, 6, 5, 9, 4, 2, 8, 3, 4, 6, 4, 8, 3, 7, 2, 3, 1, 9, 4, 3, 2, 3, 8, 6, 2, 7, 2, 3, 3, 3, 1, 8, 4, 0, 9, 7, 2, 9, 6, 4, 8, 6, 4, 9, 3, 1, 0, 1, 9, 1, 0, 5, 3, 4, 9, 1, 3, 5, 9, 2, 5, 7, 5, 1, 9, 9, 8, 6, 1, 3, 3, 4, 6, 1, 9, 7, 7, 6, 3, 6, 5, 5, 3, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS See A196361 for a guide to related sequences. LINKS Table of n, a(n) for n=1..99. EXAMPLE x=1.002750019227300659428346483723194323862... min(f(x))=-1.519557881642848251369426811329... MATHEMATICA n = 4; f[t_] := Cos[t]; s[t_] := Sum[f[k*t], {k, 1, n}]; x = N[Minimize[s[t], t], 110]; u = Part[x, 1] v = 2 Pi - t /. Part[x, 2] RealDigits[u] (* A198671 *) RealDigits[v] (* A198672 *) Plot[s[t], {t, -3 Pi, 3 Pi}] CROSSREFS Cf. A196361, A198671. Sequence in context: A348145 A210421 A326098 * A306767 A113814 A059038 Adjacent sequences: A198669 A198670 A198671 * A198673 A198674 A198675 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 28 2011 STATUS approved

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Last modified September 27 01:46 EDT 2023. Contains 365669 sequences. (Running on oeis4.)