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%I #5 Mar 30 2012 18:57:56
%S 6,0,6,9,5,0,0,3,9,3,9,6,7,0,1,1,0,2,9,2,9,3,5,7,6,2,5,3,8,5,7,0,4,5,
%T 4,2,3,8,2,3,1,7,3,5,9,9,5,5,3,8,8,9,6,1,9,4,8,0,3,1,2,1,8,0,4,9,2,7,
%U 4,6,8,9,2,5,9,6,9,2,3,5,2,9,8,8,5,8,3,4,4,7,9,4,1,8,3,5,3,0,0,0
%N Decimal expansion of the least x>0 that gives the absolute minimum of f(x)+f(2x)+f(3x)+f(4x)+f(5x), where f(x)=sin(x)-cos(x).
%C See A198745 for a guide to related sequences.
%e x=6.069500393967011029293576253857045423823...
%e min=-6.682126364889810370734279330610851580...
%t f[t_] := Sin[t] - Cos[t]
%t n = 5; s[t_] := Sum[f[k*t], {k, 1, n}]
%t x = N[Minimize[s[t], t], 110]; u = Part[x, 1]
%t v = t /. Part[x, 2]
%t RealDigits[u] (* A198751 *)
%t RealDigits[v] (* A198752 *)
%t Plot[s[t], {t, -2 Pi, 2 Pi}, PlotRange -> {-7, 4.5}]
%Y Cf. A198745.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 29 2011
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