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%I #8 Aug 09 2021 13:43:54
%S 1,5,2,7,3,6,1,1,0,3,0,1,5,4,0,6,2,9,0,4,7,0,6,0,6,4,1,0,2,1,9,1,3,5,
%T 6,5,2,2,4,7,0,0,5,2,5,6,7,8,5,4,6,8,9,9,2,7,0,2,7,5,9,1,8,1,0,0,3,0,
%U 5,6,3,1,4,1,3,4,8,5,8,7,3,6,7,9,1,6,5,4,5,4,2,9,2,7,4,1,2,2
%N Decimal expansion of the least positive number x satisfying e^(-x)=5*cos(x).
%e x=1.52736110301540629047060641021913565224700...
%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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