A198424 Decimal expansion of x>0 having x^2+2x=sin(x).
1, 2, 3, 5, 7, 8, 3, 5, 6, 0, 7, 5, 7, 9, 3, 0, 7, 2, 4, 4, 4, 5, 2, 1, 2, 0, 8, 7, 1, 0, 2, 1, 6, 7, 4, 7, 7, 2, 9, 5, 5, 4, 8, 5, 0, 7, 7, 5, 8, 3, 8, 0, 7, 8, 1, 4, 0, 0, 7, 5, 1, 8, 7, 2, 5, 9, 5, 9, 5, 1, 7, 1, 0, 9, 0, 0, 2, 5, 4, 3, 5, 9, 1, 8, 9, 6, 5, 5, 3, 8, 8, 9, 9, 2, 1, 8, 7, 9, 0
Offset: 1
Examples
-1.2357835607579307244452120871021674772...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 1; b = 2; c = 1; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -2, 1}] r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110] RealDigits[r] (* A198424 *)
Comments