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 A196831 Decimal expansion of the number x satisfying 0 < x < 2*Pi and x^2 + 2*x*tan(x) + 1 = 0. 3
 2, 2, 1, 4, 4, 1, 6, 9, 0, 5, 0, 7, 9, 6, 3, 6, 3, 3, 0, 6, 7, 9, 5, 6, 5, 9, 6, 0, 3, 6, 7, 7, 9, 2, 2, 1, 5, 9, 6, 6, 3, 7, 6, 4, 7, 5, 4, 4, 0, 5, 8, 6, 1, 5, 8, 1, 4, 8, 7, 3, 1, 8, 2, 5, 7, 6, 3, 1, 6, 5, 9, 4, 0, 8, 0, 2, 1, 0, 6, 1, 9, 9, 6, 1, 9, 3, 4, 3, 0, 3, 0, 7, 2, 8, 3, 6, 9, 2, 7, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE x=2.214416905079636330679565960367792215966376475... MATHEMATICA Plot[{1/(1 + x^2), .205 Sin[x]}, {x, 0, Pi}] t = x /. FindRoot[x^2 + 2 x*Tan[x] + 1 == 0, {x, 2, 3}, WorkingPrecision -> 100] RealDigits[t]     (* A196831 *) c = N[Csc[t]/(1 + t^2), 100] RealDigits[c]     (* A196832 *) slope = N[c*Cos[t], 100] RealDigits[slope] (* A196833 *) CROSSREFS Cf. A196825, A196832. Sequence in context: A274622 A138189 A110090 * A092848 A128111 A107356 Adjacent sequences:  A196828 A196829 A196830 * A196832 A196833 A196834 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 07 2011 STATUS approved

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Last modified June 17 19:57 EDT 2021. Contains 345085 sequences. (Running on oeis4.)