A362220 Decimal expansion of smallest positive root of x = tan(tan(x)).
1, 3, 2, 9, 7, 3, 1, 2, 2, 0, 6, 7, 8, 9, 4, 5, 5, 1, 5, 7, 3, 7, 1, 4, 6, 0, 6, 5, 5, 8, 4, 6, 4, 8, 5, 8, 9, 6, 0, 4, 8, 2, 9, 8, 5, 7, 4, 9, 0, 3, 8, 0, 4, 3, 6, 7, 5, 1, 2, 4, 6, 4, 5, 7, 9, 7, 9, 9, 7, 8, 0, 4, 7, 0, 6, 0, 1, 4, 3, 2, 0, 4, 5, 8, 3, 8, 2, 3, 7, 1, 3, 6, 9, 5, 1, 6, 2, 4, 8, 8, 4, 3, 6
Offset: 1
Examples
1.329731220678945515737146065584648589604829857490380436751246457979...
Programs
-
Mathematica
RealDigits[FindRoot[Tan[Tan[x]] == x, {x, 1.3}, WorkingPrecision -> 105][[1, 2]]][[1]] -
PARI
solve(x=1.32, 1.35, tan(tan(x)) - x) \\ Michel Marcus, Apr 12 2023