A198616 Decimal expansion of x<0 satisfying 3*x^2+3x=sin(x).
6, 9, 2, 6, 9, 1, 1, 2, 3, 3, 5, 8, 2, 4, 7, 4, 1, 6, 8, 9, 9, 8, 6, 2, 8, 1, 1, 2, 6, 0, 4, 6, 1, 8, 4, 0, 8, 5, 5, 3, 3, 2, 9, 8, 7, 2, 6, 7, 2, 0, 4, 3, 6, 7, 0, 3, 0, 8, 2, 1, 3, 3, 0, 0, 6, 5, 0, 5, 7, 7, 2, 7, 6, 0, 4, 1, 8, 2, 3, 6, 3, 2, 6, 3, 8, 5, 1, 5, 5, 3, 2, 6, 4, 4, 2, 4, 8, 4, 6
Offset: 0
Examples
-0.69269112335824741689986281126046184085...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 3; b = 3; c = 1; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -1, .1}] r = x /. FindRoot[f[x] == g[x], {x, -.7, -.69}, WorkingPrecision -> 110] RealDigits[r](* A198616 *)
Comments