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 A199179 Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=2. 3
 9, 4, 4, 9, 4, 8, 3, 2, 9, 1, 0, 3, 5, 4, 6, 9, 6, 4, 9, 4, 5, 9, 2, 7, 6, 4, 0, 3, 7, 8, 3, 4, 5, 5, 5, 1, 6, 8, 6, 9, 7, 2, 5, 6, 5, 9, 9, 0, 0, 8, 1, 1, 2, 3, 4, 6, 4, 8, 9, 1, 2, 1, 6, 0, 6, 7, 5, 6, 5, 8, 7, 8, 0, 9, 6, 7, 9, 2, 3, 2, 9, 0, 3, 1, 2, 8, 2, 8, 4, 2, 8, 9, 8, 9, 7, 5, 6, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS See A199170 for a guide to related sequences.  The Mathematica program includes a graph. LINKS EXAMPLE negative: -1.493519280868891056556339509934781825... positive:  0.94494832910354696494592764037834555... MATHEMATICA a = 1; b = 2; c = 2; f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c Plot[{f[x], g[x]}, {x, -5, 3}, {AxesOrigin -> {0, 0}}] r = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.4}, WorkingPrecision -> 110] RealDigits[r]  (* A199178 *) r = x /. FindRoot[f[x] == g[x], {x, .2, .53}, WorkingPrecision -> 110] RealDigits[r]   (* A199179 *) CROSSREFS Cf. A199170. Sequence in context: A097878 A173571 A275915 * A300072 A062546 A245887 Adjacent sequences:  A199176 A199177 A199178 * A199180 A199181 A199182 KEYWORD nonn,cons AUTHOR Clark Kimberling, Nov 04 2011 STATUS approved

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Last modified February 23 23:55 EST 2020. Contains 332195 sequences. (Running on oeis4.)