A138285 Decimal expansion of the imaginary part of z0, the smallest second-quadrant solution of z = Cos(z).
1, 8, 0, 9, 3, 6, 1, 3, 4, 1, 2, 9, 5, 7, 0, 3, 3, 1, 9, 0, 1, 6, 2, 7, 6, 1, 0, 0, 1, 9, 4, 0, 1, 1, 3, 2, 5, 6, 0, 0, 0, 7, 6, 2, 2, 4, 4, 0, 5, 3, 8, 5, 5, 8, 8, 2, 4, 4, 6, 6, 5, 4, 6, 2, 4, 8, 3, 7, 9, 0, 4, 3, 8, 3, 7, 3, 5, 7, 3, 2, 5, 4, 2, 8, 6, 7, 4, 8, 6, 5, 8, 9, 1, 4, 1, 1, 1, 7, 0, 3, 0, 8, 2, 4, 4
Offset: 1
Examples
1.809361341295703319016276...
Crossrefs
Cf. A138284 (real part).
Programs
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Mathematica
z0 = FindRoot[{Re[Cos[x+I*y]]==x, Im[Cos[x+I*y]]==y}, {{x,-2},{y,2}}, WorkingPrecision->150]; RealDigits[z0[[2,2]]]
Comments