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Decimal expansion of smallest positive solution to tan(x) = arctan(x).
1

%I #7 May 09 2023 00:30:37

%S 4,0,6,7,5,8,8,8,6,5,7,6,5,8,6,2,7,9,0,9,1,7,0,8,5,0,2,5,3,1,2,4,1,1,

%T 3,1,9,0,6,8,3,0,0,6,7,4,4,9,3,9,5,7,9,2,2,6,3,7,2,6,3,4,3,6,5,5,1,4,

%U 6,5,8,6,2,6,6,0,5,4,7,1,0,1,5,5,9,0,2,8,2,3,7,7,0,4,4,0,0,1,1,6,8,2,0

%N Decimal expansion of smallest positive solution to tan(x) = arctan(x).

%F Equals tan(A362220).

%e 4.067588865765862790917085025312411319068300674493957922637263436551...

%t RealDigits[FindRoot[Tan[x] == ArcTan[x], {x, 4}, WorkingPrecision -> 105][[1, 2]]][[1]]

%o (PARI) solve(x=4, 4.5, tan(x)-atan(x)) \\ _Michel Marcus_, Apr 12 2023

%Y Cf. A115365, A362220.

%K cons,nonn

%O 1,1

%A _Wolfe Padawer_, Apr 11 2023