A198490 Decimal expansion of x>0 having x^2-4x=2*sin(x).
3, 7, 0, 9, 8, 6, 6, 6, 1, 0, 0, 6, 7, 4, 9, 7, 1, 9, 4, 1, 9, 4, 4, 7, 5, 1, 0, 1, 4, 5, 7, 3, 2, 6, 6, 6, 7, 5, 3, 5, 9, 3, 4, 5, 0, 0, 7, 3, 8, 4, 9, 0, 0, 3, 6, 1, 7, 3, 8, 0, 4, 5, 2, 9, 5, 0, 7, 2, 9, 5, 9, 4, 0, 4, 7, 2, 4, 1, 2, 2, 8, 0, 1, 9, 6, 5, 0, 2, 9, 8, 9, 5, 7, 0, 9, 2, 3, 8, 3
Offset: 1
Examples
3.70986661006749719419447510145732666...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 1; b = -4; c = 2; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -.2, 4}] r = x /. FindRoot[f[x] == g[x], {x, 3.7, 3.71}, WorkingPrecision -> 110] RealDigits[r] (* A198490 *)
Comments