%I #6 Mar 30 2012 18:57:55
%S 5,2,9,4,4,2,8,9,4,6,9,5,2,1,1,7,6,4,0,5,6,0,5,3,3,3,9,7,0,4,6,4,5,0,
%T 0,7,5,7,3,6,7,8,3,8,6,1,9,5,4,9,3,1,8,1,4,1,4,2,6,2,3,9,6,5,8,2,1,1,
%U 4,9,9,8,0,5,4,5,8,4,0,5,7,2,3,6,3,3,9,6,8,6,2,5,9,9,6,2,8,7,8
%N Decimal expansion of the least x>0 that gives the absolute minimum of Decimal expansion of the absolute minimum of f(x)+f(2x)+f(3x), where f(x)=sin(x)+cos(x).
%C See A198735 for a guide to related sequences.
%e x=5.2944289469521176405605333970464500...
%e min=-2.75873119163855400111893535814922666...
%t f[t_] := Sin[t] + Cos[t]
%t n = 3; 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] (* A198737 *)
%t RealDigits[v] (* A198738 *)
%t Plot[s[t], {t, -3 Pi, 3 Pi}]
%Y Cf. A198735.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 29 2011