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%I #5 Mar 30 2012 18:57:55
%S 5,6,5,5,5,5,2,1,5,8,6,1,7,6,2,3,0,9,4,3,2,5,7,6,2,8,3,7,4,7,4,0,3,7,
%T 5,5,8,8,6,0,7,4,3,7,7,2,2,7,9,8,9,3,8,8,0,9,7,4,3,1,5,1,6,5,6,2,0,3,
%U 9,2,0,3,2,5,0,3,8,6,4,9,0,6,2,7,7,6,7,9,5,6,4,4,1,4,3,6,4,2,8
%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 A198735 for a guide to related sequences.
%e x=5.655552158617623094325762837474037558860...
%e min=-4.077697884877698503776497218972682969...
%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] (* A198741 *)
%t RealDigits[v] (* A198742 *)
%t Plot[s[t], {t, -2 Pi, 2 Pi}, PlotRange -> {-4.1, 7}]
%Y Cf. A198735.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 29 2011
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