A202283 Decimal expansion of x>0 satisfying x*cosh(2x)=2.
7, 9, 0, 1, 5, 0, 2, 6, 1, 3, 9, 4, 7, 1, 6, 4, 3, 9, 1, 6, 1, 7, 6, 8, 8, 4, 8, 5, 4, 4, 2, 2, 1, 7, 1, 2, 3, 9, 6, 1, 8, 8, 5, 2, 2, 0, 4, 0, 4, 8, 4, 8, 7, 0, 8, 0, 0, 3, 7, 3, 8, 9, 0, 7, 8, 5, 9, 1, 6, 4, 9, 4, 6, 9, 3, 5, 4, 1, 5, 5, 5, 2, 7, 6, 3, 4, 4, 8, 3, 0, 7, 1, 6, 3, 0, 8, 1, 2, 3
Offset: 0
Examples
0.79015026139471643916176884854422171239618...
Crossrefs
Cf. A201939.
Programs
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Mathematica
u = 2; v = 2; f[x_] := x*Cosh[u*x]; g[x_] := v Plot[{f[x], g[x]}, {x, 0, 1}, {AxesOrigin -> {0, 0}}] r = x /. FindRoot[f[x] == g[x], {x, .7, .8}, WorkingPrecision -> 110] RealDigits[r] (* A202283 *)
Comments