A125579 Decimal expansion of positive root of x^3 = cos(x).
8, 6, 5, 4, 7, 4, 0, 3, 3, 1, 0, 1, 6, 1, 4, 4, 4, 6, 6, 2, 0, 6, 8, 5, 9, 0, 1, 1, 8, 6, 2, 2, 8, 7, 4, 7, 7, 9, 2, 9, 1, 1, 9, 3, 1, 8, 1, 8, 9, 3, 5, 5, 0, 0, 8, 8, 9, 2, 7, 9, 9, 1, 5, 8, 5, 5, 4, 4, 7, 0, 0, 6, 0, 5, 6, 0, 2, 1, 5, 6, 0, 5, 1, 4, 0, 6, 4, 2, 7, 2, 3, 1, 9, 5, 6, 2, 8, 0, 2, 2, 8, 0
Offset: 0
Examples
0.865474033101614446620685901186228747792911931818935...
Programs
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Mathematica
RealDigits[FindRoot[Cos[x] == x^3, {x, {.7, 1}}, WorkingPrecision -> 120][[1, 2, 1]], 10, 111][[1]]
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PARI
solve(x=0,1,cos(x)-x^3) \\ Charles R Greathouse IV, Apr 16 2014
Formula
x^3 = cos(x)