A198545 Decimal expansion of x < 0 having 4*x^2+4*x = 3*sin(x).
2, 5, 8, 3, 1, 2, 9, 1, 2, 3, 7, 7, 5, 2, 3, 9, 2, 6, 0, 3, 2, 7, 3, 4, 0, 7, 3, 9, 5, 1, 9, 8, 2, 5, 3, 0, 6, 5, 4, 9, 1, 5, 5, 2, 1, 6, 2, 4, 8, 6, 5, 0, 3, 6, 6, 7, 8, 8, 4, 2, 9, 8, 5, 8, 1, 7, 9, 4, 8, 9, 6, 1, 0, 4, 0, 1, 8, 2, 8, 7, 7, 0, 7, 5, 1, 6, 5, 9, 1, 0, 9, 0, 9, 4, 3, 7, 9, 5, 3, 9
Offset: 0
Examples
-0.258312912377523926032734073951982530...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 4; b = 4; c = 3; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -.3, .1}] r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110] RealDigits[r] (* A198545 *)
Extensions
a(86) onwards corrected by Georg Fischer, Aug 01 2021
Comments