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 A196914 Decimal expansion of the number c for which the curve y=1/(1+x^2) is tangent to the curve y=c*cos(x), and 0
 8, 7, 4, 4, 6, 0, 0, 3, 6, 6, 2, 4, 0, 0, 9, 2, 6, 5, 5, 4, 8, 1, 4, 6, 4, 4, 8, 4, 0, 6, 7, 3, 7, 2, 5, 6, 6, 3, 0, 7, 3, 9, 7, 2, 6, 9, 8, 4, 4, 6, 9, 0, 8, 1, 4, 0, 1, 1, 2, 0, 4, 5, 2, 1, 2, 5, 9, 6, 0, 1, 1, 1, 5, 6, 1, 3, 3, 3, 0, 4, 9, 8, 5, 5, 8, 1, 3, 8, 7, 2, 6, 2, 2, 4, 2, 0, 7, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS FORMULA x=0.87446003662400926554814644840673725663073... EXAMPLE c=0.87446003662400926554814644840673725663073... MATHEMATICA Plot[{1/(1 + x^2), 0.874*Cos[x]}, {x, .5, 1}] t = x /. FindRoot[Tan[x] == 2 x/(1 + x^2), {x, .5, 1}, WorkingPrecision -> 100] RealDigits[t]    (* A196913 *) c = N[Sqrt[t^4 + 6 t^2 + 1]/(t^4 + 2 t^2 + 1), 100] RealDigits[c]    (* A196914 *) slope = N[-c*Sin[t], 100] RealDigits[slope](* A196915 *) CROSSREFS Cf. A196913, A196915. Sequence in context: A268046 A260060 A260800 * A072102 A274442 A249136 Adjacent sequences:  A196911 A196912 A196913 * A196915 A196916 A196917 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 07 2011 STATUS approved

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Last modified July 17 08:42 EDT 2019. Contains 325098 sequences. (Running on oeis4.)