A198429 Decimal expansion of x>0 having x^2-2x=3*sin(x).
2, 5, 9, 7, 6, 5, 9, 6, 1, 1, 1, 6, 7, 3, 4, 8, 3, 5, 2, 7, 1, 9, 8, 6, 0, 8, 4, 6, 9, 3, 1, 7, 8, 3, 6, 0, 0, 8, 5, 5, 8, 8, 8, 4, 5, 7, 5, 1, 7, 1, 7, 1, 2, 2, 1, 7, 1, 2, 5, 0, 6, 4, 6, 3, 5, 0, 1, 6, 7, 0, 4, 6, 4, 6, 9, 9, 4, 8, 4, 6, 1, 4, 5, 4, 4, 8, 9, 2, 8, 4, 8, 7, 3, 2, 4, 1, 9, 7, 5
Offset: 1
Examples
2.597659611167348352719860846931783600...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 1; b = -2; c = 3; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -.2, 3}] r = x /. FindRoot[f[x] == g[x], {x, 2.59, 2.60}, WorkingPrecision -> 110] RealDigits[r] (* A198429 *)
Comments