A198583 Decimal expansion of x>0 satisfying 2*x^2=sin(x).
4, 8, 0, 9, 4, 5, 9, 5, 7, 7, 2, 8, 1, 2, 9, 6, 5, 7, 7, 6, 6, 2, 9, 7, 8, 5, 6, 5, 3, 7, 6, 5, 6, 3, 8, 3, 3, 8, 5, 4, 0, 7, 0, 8, 5, 9, 1, 3, 4, 6, 6, 3, 6, 7, 3, 2, 9, 2, 5, 6, 2, 6, 9, 9, 9, 6, 3, 9, 8, 8, 3, 9, 3, 6, 3, 9, 6, 1, 1, 1, 9, 9, 5, 1, 9, 4, 0, 8, 7, 2, 8, 1, 3, 9, 2, 8, 2, 1, 3
Offset: 0
Examples
0.480945957728129657766297856537656383385407...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 2; b = 0; 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, .48, .49}, WorkingPrecision -> 110] RealDigits[r] (* A198583 *)
Comments