A198579 Decimal expansion of x>0 satisfying 3*x^2-4x=sin(x).
1, 5, 4, 8, 5, 3, 6, 9, 5, 2, 6, 1, 0, 6, 5, 6, 1, 2, 6, 2, 4, 3, 1, 2, 2, 5, 4, 1, 2, 4, 9, 3, 6, 9, 7, 5, 0, 3, 3, 9, 8, 3, 9, 3, 5, 1, 5, 4, 9, 5, 1, 1, 8, 0, 7, 3, 0, 4, 5, 8, 0, 8, 1, 5, 3, 3, 6, 7, 2, 6, 1, 6, 6, 3, 3, 6, 6, 1, 5, 2, 6, 9, 0, 0, 6, 0, 6, 0, 1, 7, 7, 9, 0, 8, 8, 4, 1, 9, 0
Offset: 1
Examples
1.5485369526106561262431225412493697503398393...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 3; b = -4; 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, 1.54, 1.55}, WorkingPrecision -> 110] RealDigits[r] (* A198579 *)
Comments