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A196407 Decimal expansion of the least positive number x satisfying e^(-x)=2*sin(x). 6

%I #5 Mar 30 2012 18:57:50

%S 3,5,7,3,2,7,4,1,1,3,2,2,5,5,5,4,8,0,8,3,1,4,2,4,6,7,4,8,1,2,1,1,2,3,

%T 0,9,7,1,2,8,2,7,8,2,2,4,8,3,0,5,6,6,1,0,1,8,3,6,4,3,0,8,6,0,7,7,5,4,

%U 3,8,0,5,1,4,6,5,6,3,9,8,4,0,4,3,7,5,8,8,0,5,0,8,3,9,1,8,4,7,9,1

%N Decimal expansion of the least positive number x satisfying e^(-x)=2*sin(x).

%e x=0.3573274113225554808314246748121123097128278224830566...

%t Plot[{E^(-x), Sin[x], 2 Sin[x], 3 Sin[x], 4 Sin[x]}, {x, 0, Pi/2}]

%t t = x /. FindRoot[E^(-x) == Sin[x], {x, 0, 1}, WorkingPrecision -> 100]

%t RealDigits[t] (* Cf. A069997 *)

%t t = x /. FindRoot[E^(-x) == 2 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196407 *)

%t t = x /. FindRoot[E^(-x) == 3 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196408 *)

%t t = x /. FindRoot[E^(-x) == 4 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196409 *)

%t t = x /. FindRoot[E^(-x) == 5 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196462 *)

%t t = x /. FindRoot[E^(-x) == 6 Sin[x], {x, 0, 1}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196463 *)

%Y Cf. A196396, A196401.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 02 2011

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Last modified March 29 08:01 EDT 2024. Contains 371265 sequences. (Running on oeis4.)