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

1,2

Links

Table of n, a(n) for n=1..103.

Formula

Equals tan(A362219).

Equals arctan(A362219).

Example

1.329731220678945515737146065584648589604829857490380436751246457979...

Mathematica

RealDigits[FindRoot[Tan[Tan[x]] == x, {x, 1.3}, WorkingPrecision -> 105][[1, 2]]][[1]]

Prog

(PARI) solve(x=1.32, 1.35, tan(tan(x)) - x) \\ Michel Marcus, Apr 12 2023

Crossrefs

Cf. A115365, A362219.

Sequence in context: A197311 A078478 A346109 * A019778 A134480 A182950

Adjacent sequences: A362217 A362218 A362219 * A362221 A362222 A362223

Keyword

cons,nonn

Author

Wolfe Padawer, Apr 11 2023

Status

approved