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A195782
Decimal expansion of arccot(8).
2
1, 2, 4, 3, 5, 4, 9, 9, 4, 5, 4, 6, 7, 6, 1, 4, 3, 5, 0, 3, 1, 3, 5, 4, 8, 4, 9, 1, 6, 3, 8, 7, 1, 0, 2, 5, 5, 7, 3, 1, 7, 0, 1, 9, 1, 7, 6, 9, 8, 0, 4, 0, 8, 9, 9, 1, 5, 1, 1, 4, 1, 1, 9, 1, 1, 5, 7, 2, 2, 2, 6, 7, 4, 2, 7, 5, 6, 6, 7, 5, 8, 6, 2, 3, 7, 1, 0, 5, 9, 4, 3, 1, 3, 3, 5, 3, 3, 3, 0, 3
OFFSET
0,2
FORMULA
Equals Integral_{x = 0..inf} exp(-8*x)*sin(x)/x dx. - Peter Bala, Nov 05 2019
Equals arctan(1/8) = arcsin(1/sqrt(65)) = arccos(8/sqrt(65)). - Amiram Eldar, May 24 2021
EXAMPLE
arccot(8)=0.124354994546761435031354849163871025573170...
MATHEMATICA
(See A195781.)
RealDigits[ArcCot[8], 10, 120][[1]] (* Harvey P. Dale, Nov 09 2014 *)
PROG
(PARI) atan(1/8) \\ Charles R Greathouse IV, Nov 21 2024
CROSSREFS
Cf. A195781.
Sequence in context: A060762 A371924 A328793 * A053049 A306762 A124938
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Sep 24 2011
STATUS
approved