A198611 Decimal expansion of -x, where x < 0 satisfies 2*x^2+4*x = sin(x).
1, 7, 1, 0, 5, 4, 5, 2, 1, 0, 9, 1, 8, 0, 8, 4, 4, 0, 1, 8, 7, 3, 4, 0, 3, 7, 7, 3, 0, 1, 4, 4, 0, 3, 1, 9, 7, 6, 5, 7, 9, 5, 1, 0, 1, 0, 5, 0, 4, 5, 2, 6, 8, 1, 7, 6, 5, 8, 6, 3, 2, 4, 4, 8, 0, 1, 2, 8, 3, 7, 4, 7, 8, 9, 5, 6, 4, 1, 0, 7, 6, 4, 1, 2, 8, 3, 7, 7, 0, 8, 7, 0, 5, 7, 3, 7, 8, 9, 6
Offset: 1
Examples
-1.71054521091808440187340377301440319765795101...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 2; b = 4; 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, -1.72, -1.71}, WorkingPrecision -> 110] RealDigits[r] (* A198611 *)
Extensions
a(83) onwards corrected by Georg Fischer, Aug 01 2021
Comments