A198540 Decimal expansion of x>0 having 4*x^2+2x=3*sin(x).
2, 4, 2, 6, 6, 1, 0, 9, 0, 1, 4, 0, 2, 2, 1, 3, 1, 2, 6, 3, 0, 2, 6, 4, 8, 3, 4, 9, 7, 4, 7, 3, 8, 4, 2, 1, 3, 1, 7, 8, 2, 5, 8, 1, 5, 0, 5, 0, 8, 6, 2, 5, 8, 9, 0, 5, 7, 5, 0, 7, 5, 2, 3, 6, 5, 1, 2, 7, 3, 8, 7, 3, 9, 0, 2, 9, 0, 7, 0, 3, 7, 9, 5, 4, 9, 6, 6, 9, 4, 5, 3, 7, 2, 1, 9, 3, 4, 1, 4
Offset: 0
Examples
0.24266109014022131263026483497473842...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 4; b = 2; c = 3; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -.2, .4}] r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110] RealDigits[r] (* A198540 *)
Comments