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A196775 Decimal expansion of the slope (negative) at the point of tangency of the curves y=c+1/x and y=sin(x), where c is given by A196774. 3

%I

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

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

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

%N Decimal expansion of the slope (negative) at the point of tangency of the curves y=c+1/x and y=sin(x), where c is given by A196774.

%e x=-0.28810657283129896727398959945083925345500...

%t Plot[{1/x + .42, Sin[x]}, {x, 0, 2 Pi}]

%t t = x /. FindRoot[-1 == (x^2) Cos[x], {x, 1.5, 2.5}, WorkingPrecision -> 100]

%t RealDigits[t] (* A196773 *)

%t c = N[-1/t + Sin[t], 100]

%t RealDigits[c] (* A196774 *)

%t slope = N[-1/t^2, 100]

%t RealDigits[slope](* A196775 *)

%Y Cf. A196774.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 06 2011

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Last modified May 29 06:51 EDT 2022. Contains 354122 sequences. (Running on oeis4.)