A198551 Decimal expansion of x>0 having 3*x^2-x=2*sin(x).
9, 1, 1, 4, 5, 3, 8, 1, 4, 9, 9, 7, 9, 0, 6, 8, 9, 3, 9, 3, 3, 7, 9, 2, 8, 3, 5, 1, 7, 0, 5, 1, 3, 2, 8, 0, 9, 3, 2, 4, 4, 2, 4, 1, 8, 4, 3, 8, 9, 3, 7, 4, 0, 2, 2, 0, 7, 2, 7, 3, 0, 6, 6, 9, 0, 4, 1, 5, 0, 7, 8, 6, 6, 7, 0, 1, 4, 7, 3, 6, 6, 8, 6, 8, 3, 0, 0, 1, 7, 1, 1, 5, 8, 7, 9, 5, 8, 7, 7
Offset: 0
Examples
0.911453814997906893933792835170513280932...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 3; b = -1; c = 2; 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, .91, .92}, WorkingPrecision -> 110] RealDigits[r] (* A198551 *)
Comments