cp's OEIS Frontend

A198679 Decimal expansion of the absolute minimum of sin(x)+sin(2x)+sin(3x).

%I A198679 #11 Dec 05 2016 10:40:09
%S A198679 2,4,9,9,6,0,7,6,0,4,3,2,0,0,5,6,6,0,4,3,6,8,1,2,6,2,8,5,6,1,8,0,4,3,
%T A198679 2,1,8,2,4,3,7,2,3,8,5,6,7,4,0,0,3,1,7,2,2,7,3,3,7,1,4,1,8,1,3,5,8,0,
%U A198679 1,7,5,3,0,5,1,8,0,6,0,8,8,8,8,1,9,0,5,6,6,5,4,4,7,1,4,7,5,3,8
%N A198679 Decimal expansion of the absolute minimum of sin(x)+sin(2x)+sin(3x).
%C A198679 See A198677 for a guide to related sequences.
%e A198679 x=5.615894235655113730430510613029770525768423...
%e A198679 min=-2.499607604320056604368126285618043218243...
%t A198679 n = 3; f[t_] = Sin[t]; s[t_] := Sum[f[k*t], {k, 1, n}];
%t A198679 x = N[Minimize[s[t], t], 110]; u = Part[x, 1]
%t A198679 v = t /. Part[x, 2]
%t A198679 RealDigits[u]  (* A198679 *)
%t A198679 RealDigits[v] (* A198680 *)
%t A198679 Plot[s[t], {t, -3 Pi, 3 Pi}]
%t A198679 (* Second program: *)
%t A198679 Root[-108 + 2124x^2 - 4892x^4 + 729x^6, 1] // RealDigits[#, 10, 99]& // First (* _Jean-François Alcover_, Feb 19 2013 *)
%Y A198679 Cf. A198677.
%K A198679 nonn,cons
%O A198679 1,1
%A A198679 _Clark Kimberling_, Oct 29 2011