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 A199460 Decimal expansion of x>0 satisfying x=2*sin(x). 5
 1, 8, 9, 5, 4, 9, 4, 2, 6, 7, 0, 3, 3, 9, 8, 0, 9, 4, 7, 1, 4, 4, 0, 3, 5, 7, 3, 8, 0, 9, 3, 6, 0, 1, 6, 9, 1, 7, 5, 1, 3, 4, 6, 6, 2, 7, 3, 8, 5, 4, 2, 3, 9, 6, 2, 0, 0, 0, 1, 7, 7, 4, 8, 9, 5, 9, 3, 2, 7, 8, 5, 4, 5, 3, 1, 8, 8, 7, 7, 2, 1, 5, 7, 8, 0, 4, 4, 5, 4, 5, 2, 9, 4, 0, 3, 7, 5, 9, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A199429 for a guide to related sequences.  The Mathematica program includes a graph. A solution to the functional equation f'(z) = f(z+1)-f(z-1) is f(z) = exp(x*i*z). - Jean-François Alcover, Apr 04 2014 LINKS EXAMPLE 1.895494267033980947144035738093601691751... MATHEMATICA a = 1; b = -2; c = 0; f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x] Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] r = x /.  FindRoot[f[x] == g[x], {x, 1.89, 1.90}, WorkingPrecision -> 110] RealDigits[r]  (* A199460 greatest of three roots *) CROSSREFS Cf. A199429. Sequence in context: A029689 A201294 A199383 * A245772 A190289 A198119 Adjacent sequences:  A199457 A199458 A199459 * A199461 A199462 A199463 KEYWORD nonn,cons AUTHOR Clark Kimberling, Nov 07 2011 STATUS approved

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