A198608 Decimal expansion of -x where x<0 satisfies 2*x^2+3x=sin(x).
1, 0, 9, 3, 9, 2, 2, 7, 3, 9, 9, 0, 5, 4, 9, 9, 0, 8, 9, 0, 5, 7, 3, 4, 5, 8, 0, 3, 9, 5, 2, 1, 9, 6, 2, 2, 7, 6, 0, 4, 6, 8, 8, 2, 5, 0, 1, 9, 1, 3, 7, 3, 8, 4, 3, 9, 4, 4, 4, 9, 8, 2, 6, 5, 8, 9, 3, 0, 7, 8, 4, 6, 6, 1, 5, 8, 1, 2, 8, 4, 6, 9, 0, 0, 1, 9, 6, 6, 6, 2, 2, 2, 5, 3, 3, 6, 8, 7, 9
Offset: 1
Examples
-1.0939227399054990890573458039521962276046...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 2; b = 3; c = 1; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -2, .2}] r = x /. FindRoot[f[x] == g[x], {x, -1.1, -1.0}, WorkingPrecision -> 110] RealDigits[r](* A198608 *)
Comments