A198553 Decimal expansion of x>0 having 3*x^2-x=4*sin(x).
1, 3, 1, 4, 5, 1, 8, 9, 3, 5, 6, 6, 2, 9, 1, 3, 3, 7, 8, 5, 6, 2, 0, 3, 2, 7, 2, 2, 8, 9, 9, 0, 1, 3, 0, 4, 7, 0, 8, 6, 4, 8, 6, 6, 8, 7, 6, 7, 2, 6, 3, 8, 2, 3, 5, 9, 7, 7, 7, 0, 5, 1, 9, 4, 0, 4, 4, 7, 9, 7, 0, 5, 4, 6, 6, 8, 5, 4, 2, 3, 9, 8, 3, 0, 2, 8, 9, 9, 7, 5, 3, 0, 6, 2, 5, 5, 0, 2, 6
Offset: 1
Examples
1.314518935662913378562032722899013047086486...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 3; b = -1; c = 4; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -.1, 1.5}] r = x /. FindRoot[f[x] == g[x], {x, 1.13, 1.14}, WorkingPrecision -> 110] RealDigits[r] (* A198553 *)
Comments