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%I #5 Mar 30 2012 18:57:50
%S 1,3,8,0,6,0,8,5,2,5,6,4,7,7,5,6,7,2,9,1,2,8,1,9,8,3,6,9,2,9,5,0,5,6,
%T 6,1,5,4,5,8,8,3,6,0,2,5,5,6,2,8,7,4,4,9,8,3,4,3,0,6,7,8,1,2,9,0,8,8,
%U 1,1,9,4,1,2,0,9,1,1,5,1,7,6,1,3,1,8,3,7,9,3,8,5,4,0,5,2,7,5,4,8
%N Decimal expansion of the least x>0 satisfying 1=x*cos(4*x).
%e x=1.3806085256477567291281983692950566154588360255628744...
%t Plot[{1/x, Cos[x], Cos[2 x], Cos[3 x], Cos[4 x]}, {x, 0, 2 Pi}]
%t t = x /. FindRoot[1/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
%t RealDigits[t] (* A133868 *)
%t t = x /. FindRoot[1/x == Cos[2 x], {x, 2, 3}, WorkingPrecision -> 100]
%t RealDigits[t] (* A196608 *)
%t t = x /. FindRoot[1/x == Cos[3 x], {x, 1, 2}, WorkingPrecision -> 100]
%t RealDigits[t] (* A196602 *)
%t t = x /. FindRoot[1/x == Cos[4 x], {x, .9, 1.4}, WorkingPrecision -> 100]
%t RealDigits[t] (* A196609 *)
%t t = x /. FindRoot[1/x == Cos[5 x], {x, .9, 1.2}, WorkingPrecision -> 100]
%t RealDigits[t] (* A196626 *)
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 05 2011
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