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%I #9 Dec 02 2016 10:37:58
%S 4,6,9,0,3,6,1,8,0,3,9,5,3,9,4,1,7,1,9,1,6,9,5,6,7,7,6,7,6,7,7,3,0,7,
%T 4,6,0,8,9,1,1,5,1,8,4,1,9,4,7,9,0,9,4,7,4,6,2,8,4,8,4,5,2,7,3,5,0,9,
%U 7,4,8,1,2,8,1,4,2,9,3,3,6,6,4,3,5,8,7,8,4,2,0,4,9,5,7,9,1,4,6,3,2,7,8,7,4,7
%N Decimal expansion of the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x)+sin(5x)+sin(6x).
%C See A198677 for a guide to related sequences.
%e x=5.924356380456046882352862563376763567376562...
%e min=-4.690361803953941719169567767677307460891...
%t n = 6; f[t_] = Sin[t]; 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] (* A198733 *)
%t RealDigits[v] (* A198734 *)
%t Plot[s[t], {t, -3 Pi, 3 Pi}]
%t RealDigits[FindMinimum[Plus@@Table[Sin[n*x],{n,6}],{x,.1}, WorkingPrecision -> 100][[1]]][[1]] (* _Harvey P. Dale_, Dec 08 2015 *)
%Y Cf. A198677.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 29 2011
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