cp's OEIS Frontend

A198729 Decimal expansion of the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x).

%I A198729 #7 Dec 14 2020 12:40:30
%S A198729 3,2,3,2,3,8,4,8,7,1,1,1,1,4,5,2,3,3,0,8,8,4,2,6,9,5,2,0,4,9,3,4,2,8,
%T A198729 1,8,1,4,5,0,4,2,7,6,5,6,8,5,3,3,0,2,8,0,0,1,4,8,0,2,9,6,7,4,9,4,6,0,
%U A198729 8,0,6,9,5,9,9,1,5,5,8,6,2,9,9,9,1,3,3,2,0,8,8,0,1,3,2,2,7,4,7
%N A198729 Decimal expansion of the absolute minimum of sin(x)+sin(2x)+sin(3x)+sin(4x).
%C A198729 See A198677 for a guide to related sequences.
%e A198729 x=5.764569445617181108633794876455734774725510...
%e A198729 min=-3.232384871111452330884269520493428181450...
%t A198729 n = 4; f[t_] = Sin[t]; s[t_] := Sum[f[k*t], {k, 1, n}];
%t A198729 x = N[Minimize[s[t], t], 110]; u = Part[x, 1]
%t A198729 v = t /. Part[x, 2]
%t A198729 RealDigits[u]  (* A198729 *)
%t A198729 RealDigits[v]  (* A198730 *)
%t A198729 Plot[s[t], {t, -3 Pi, 3 Pi}]
%t A198729 RealDigits[Minimize[Plus@@Sin[x*Range[4]],x],10,100][[1,1]] (* _Harvey P. Dale_, Dec 14 2020 *)
%Y A198729 Cf. A198677.
%K A198729 nonn,cons
%O A198729 1,1
%A A198729 _Clark Kimberling_, Oct 29 2011