cp's OEIS Frontend

A198734 Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x)+sin(5x)+sin(6x).

%I A198734 #5 Mar 30 2012 18:57:55
%S A198734 5,9,2,4,3,5,6,3,8,0,4,5,6,0,4,6,8,8,2,3,5,2,8,6,2,5,6,3,3,7,6,7,6,3,
%T A198734 5,6,7,3,7,6,5,6,2,5,0,2,5,9,9,7,8,1,6,6,0,3,4,9,9,0,5,8,9,3,0,5,5,7,
%U A198734 5,1,9,9,6,8,1,3,8,5,2,5,9,6,0,7,7,5,1,0,2,3,2,8,1,7,8,5,3,1,5
%N A198734 Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x)+sin(5x)+sin(6x).
%C A198734 See A198677 for a guide to related sequences.
%e A198734 x=5.924356380456046882352862563376763567376562...
%e A198734 min=-4.6903618039539417191695677676773074608911...
%t A198734 n = 6; f[t_] = Sin[t]; s[t_] := Sum[f[k*t], {k, 1, n}];
%t A198734 x = N[Minimize[s[t], t], 110]; u = Part[x, 1]
%t A198734 v = t /. Part[x, 2]
%t A198734 RealDigits[u]  (* A198733 *)
%t A198734 RealDigits[v] (* A198734 *)
%t A198734 Plot[s[t], {t, -3 Pi, 3 Pi}]
%Y A198734 Cf. A198677.
%K A198734 nonn,cons
%O A198734 1,1
%A A198734 _Clark Kimberling_, Oct 29 2011