A198609 Decimal expansion of -x where x<0 satisfies 2*x^2+3x=2*sin(x).
5, 4, 9, 5, 8, 5, 9, 7, 7, 0, 0, 5, 8, 3, 2, 3, 3, 1, 6, 7, 8, 5, 3, 6, 9, 2, 1, 1, 2, 6, 3, 7, 1, 7, 8, 0, 2, 5, 8, 9, 5, 9, 1, 0, 5, 8, 0, 0, 3, 5, 1, 8, 1, 3, 8, 5, 3, 4, 4, 5, 0, 4, 0, 8, 6, 1, 5, 9, 7, 3, 0, 9, 1, 8, 9, 0, 2, 8, 7, 8, 8, 2, 6, 8, 6, 0, 9, 9, 7, 2, 1, 9, 3, 5, 2, 4, 1, 7, 5
Offset: 0
Examples
-0.54958597700583233167853692112637178025895...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 2; b = 3; c = 2; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -1, .2}] r = x /. FindRoot[f[x] == g[x], {x, -.55, -.54}, WorkingPrecision -> 110] RealDigits[r] (* A198609 *)
Comments