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A195781
Decimal expansion of arctan(8).
3
1, 4, 4, 6, 4, 4, 1, 3, 3, 2, 2, 4, 8, 1, 3, 5, 1, 8, 4, 1, 9, 9, 9, 6, 6, 8, 4, 2, 4, 7, 5, 8, 8, 0, 4, 1, 6, 5, 2, 5, 4, 1, 4, 5, 0, 7, 9, 1, 7, 7, 4, 8, 8, 2, 0, 5, 7, 2, 3, 5, 8, 1, 7, 7, 0, 3, 8, 1, 8, 5, 9, 3, 5, 7, 1, 5, 5, 3, 7, 7, 4, 0, 6, 9, 0, 3, 0, 6, 8, 1, 8, 3, 5, 7, 7, 0, 5, 2, 0, 3
OFFSET
1,2
FORMULA
Equals arccot(1/8) = arcsin(8/sqrt(65)) = arccos(1/sqrt(65)). - Amiram Eldar, May 24 2021
Equals arctan(1) + arctan(1/2) + arctan(1/5). - Amiram Eldar, Jan 11 2022
EXAMPLE
arctan(8) = 1.4464413322481351841999668424758804165254145079...
MATHEMATICA
r = 8;
N[ArcTan[r], 100]
RealDigits[%][[1]]
PROG
(PARI) atan(8) \\ Charles R Greathouse IV, Nov 20 2024
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Sep 24 2011
STATUS
approved