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%I #6 Mar 30 2012 18:57:50
%S 1,4,9,6,0,5,6,1,3,0,5,8,3,6,2,2,6,6,7,2,6,9,1,8,5,1,2,4,3,5,1,3,9,7,
%T 1,1,2,5,3,4,6,1,7,7,9,9,3,5,1,7,1,2,9,3,4,6,1,9,6,1,9,6,7,9,4,8,0,2,
%U 6,2,6,9,0,4,0,6,5,3,3,7,8,5,4,7,2,8,8,9,5,8,4,0,7,4,4,6,7,6,4,0
%N Decimal expansion of the least positive number x satisfying e^(-x)=3*cos(x).
%e x=1.496056130583622667269185124351397112534617799...
%t Plot[{E^(-x), Cos[x], 2 Cos[x], 3 Cos[x], 4 Cos[x]}, {x, 0, Pi/2}]
%t t = x /. FindRoot[E^(-x) == Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100];
%t RealDigits[t] (* A196401 *)
%t t = x /. FindRoot[E^(-x) == 2 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t] (* A196402 *)
%t t = x /. FindRoot[E^(-x) == 3 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t] (* A196403 *)
%t t = x /. FindRoot[E^(-x) == 4 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t] (* A196404 *)
%t t = x /. FindRoot[E^(-x) == 5 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t] (* A196405 *)
%t t = x /. FindRoot[E^(-x) == 6 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t] (* A196406 *)
%Y Cf. A196401.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 02 2011
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