A199395 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=2.
5, 8, 5, 6, 3, 5, 4, 7, 6, 4, 9, 1, 1, 1, 7, 7, 7, 8, 2, 0, 0, 5, 9, 9, 5, 4, 4, 5, 5, 9, 5, 9, 2, 3, 2, 4, 9, 0, 9, 9, 8, 7, 7, 8, 4, 7, 4, 5, 6, 3, 3, 2, 8, 8, 2, 7, 8, 4, 2, 1, 7, 7, 4, 8, 8, 1, 2, 4, 5, 4, 0, 1, 1, 4, 7, 5, 5, 0, 2, 1, 7, 2, 6, 1, 5, 7, 1, 7, 0, 6, 6, 5, 0, 2, 1, 1, 2, 9, 1
Offset: 0
Examples
0.585635476491117778200599544559592324909987784745...
Crossrefs
Cf. A199370.
Programs
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Mathematica
a = 3; b = 3; c = 2; f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}] r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110] RealDigits[r] (* A199395 *)
Comments