A198431 Decimal expansion of x>0 having x^2-3x=sin(x).
3, 0, 3, 5, 0, 4, 0, 8, 2, 2, 4, 3, 8, 0, 4, 8, 8, 4, 6, 8, 6, 7, 1, 2, 3, 0, 7, 0, 9, 6, 4, 8, 2, 3, 7, 8, 0, 6, 0, 1, 5, 8, 8, 8, 1, 0, 7, 1, 5, 5, 2, 2, 2, 8, 5, 3, 9, 0, 3, 6, 8, 9, 6, 4, 8, 2, 0, 9, 9, 4, 8, 0, 8, 1, 5, 2, 9, 5, 4, 8, 2, 9, 3, 9, 5, 3, 0, 9, 5, 9, 8, 8, 1, 8, 3, 3, 7, 5, 3
Offset: 1
Examples
3.0350408224380488468671230709648237806015888...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 1; b = -3; c = 1; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -.2, 3.5}] r = x /. FindRoot[f[x] == g[x], {x, 3.0, 3.1}, WorkingPrecision -> 110] RealDigits[r] (* A198431 *)
Comments