A198503 Decimal expansion of x>0 having 4*x^2=sin(x).
2, 4, 7, 4, 5, 6, 3, 5, 6, 7, 7, 0, 3, 8, 9, 8, 7, 2, 7, 3, 0, 3, 2, 8, 7, 7, 6, 3, 3, 7, 9, 9, 3, 7, 2, 5, 2, 6, 1, 6, 4, 9, 4, 0, 2, 8, 4, 0, 2, 1, 2, 8, 3, 8, 1, 5, 0, 3, 2, 6, 6, 1, 6, 9, 5, 3, 9, 4, 2, 8, 1, 2, 1, 8, 3, 3, 6, 6, 1, 7, 2, 0, 2, 0, 5, 9, 0, 5, 1, 2, 0, 2, 2, 1, 7, 6, 2, 5, 8
Offset: 0
Examples
0.2474563567703898727303287763379937252...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 4; b = 0; c = 1; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -.2, .4}] r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110] RealDigits[r] (* A198503 *)
Comments