A198550 Decimal expansion of x>0 having 3*x^2-x=sin(x).
6, 4, 4, 0, 9, 2, 5, 3, 0, 1, 9, 3, 0, 7, 2, 5, 5, 8, 9, 9, 1, 2, 8, 9, 2, 1, 5, 2, 5, 1, 3, 0, 0, 8, 3, 6, 9, 5, 1, 1, 4, 0, 8, 1, 8, 5, 6, 8, 3, 5, 4, 0, 8, 9, 2, 3, 1, 0, 7, 0, 2, 1, 6, 4, 8, 9, 3, 8, 1, 4, 9, 6, 2, 6, 8, 7, 7, 2, 8, 8, 7, 1, 2, 1, 5, 7, 8, 7, 2, 4, 5, 7, 7, 4, 4, 6, 7, 6, 0
Offset: 0
Examples
0.644092530193072558991289215251300836951140...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 3; b = -1; 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, .64, .65}, WorkingPrecision -> 110] RealDigits[r] (* A198550 *)
Comments