cp's OEIS Frontend

A198732 Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x)+sin(5x).

%I A198732 #5 Mar 30 2012 18:57:55
%S A198732 5,8,5,9,0,2,3,1,0,1,6,8,1,5,4,2,7,6,4,1,0,2,2,6,4,9,9,7,0,3,2,3,2,9,
%T A198732 9,9,0,4,5,6,8,6,9,0,9,6,1,3,1,5,0,2,8,0,2,8,8,5,4,4,6,8,1,5,1,8,0,7,
%U A198732 4,3,3,6,9,5,3,5,2,6,2,8,3,5,0,7,1,3,6,9,1,5,0,6,6,2,2,6,6,7,8
%N A198732 Decimal expansion of the least x>0 that gives the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x)+sin(5x).
%C A198732 See A198677 for a guide to related sequences.
%e A198732 x=5.8590231016815427641022649970323299904568...
%e A198732 min=-3.9621733635032856002319779111064909898...
%t A198732 n = 5; f[t_] = Sin[t]; s[t_] := Sum[f[k*t], {k, 1, n}];
%t A198732 x = N[Minimize[s[t], t], 110]; u = Part[x, 1]
%t A198732 v = t /. Part[x, 2]
%t A198732 RealDigits[u]  (* A198731 *)
%t A198732 RealDigits[v] (* A198732 *)
%t A198732 Plot[s[t], {t, -3 Pi, 3 Pi}]
%Y A198732 Cf. A198677.
%K A198732 nonn,cons
%O A198732 1,1
%A A198732 _Clark Kimberling_, Oct 29 2011