A198428 Decimal expansion of x>0 having x^2-2x=2*sin(x).
2, 4, 8, 8, 4, 2, 5, 2, 5, 9, 6, 5, 3, 5, 6, 6, 0, 1, 7, 4, 8, 7, 4, 9, 8, 4, 9, 4, 9, 3, 6, 1, 7, 9, 7, 1, 5, 4, 5, 0, 6, 5, 3, 5, 8, 9, 9, 6, 7, 9, 0, 2, 6, 4, 9, 4, 5, 5, 8, 5, 2, 6, 5, 1, 3, 6, 4, 2, 3, 8, 9, 5, 1, 6, 0, 2, 0, 1, 2, 7, 8, 7, 7, 4, 7, 4, 2, 4, 6, 9, 1, 2, 5, 4, 5, 6, 1, 0, 4
Offset: 1
Examples
2.488425259653566017487498494936179715450...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 1; b = -2; c = 2; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -.2, 2.5}] r = x /. FindRoot[f[x] == g[x], {x, 2.48, 2.49}, WorkingPrecision -> 110] RealDigits[r] (* A198428 *)
Comments