A195769 Decimal expansion of arctan(5).
1, 3, 7, 3, 4, 0, 0, 7, 6, 6, 9, 4, 5, 0, 1, 5, 8, 6, 0, 8, 6, 1, 2, 7, 1, 9, 2, 6, 4, 4, 4, 9, 6, 1, 1, 4, 8, 6, 5, 0, 9, 9, 9, 5, 9, 5, 8, 9, 9, 7, 0, 0, 8, 0, 8, 9, 6, 9, 7, 8, 3, 3, 5, 5, 9, 1, 2, 8, 7, 4, 2, 3, 3, 1, 6, 4, 8, 6, 0, 7, 1, 3, 5, 8, 1, 3, 1, 9, 5, 8, 4, 6, 3, 3, 7, 7, 0, 4, 8, 9
Offset: 1
Examples
arctan(5) = 1.373400766945015860861271926444961148650999...
Programs
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Mathematica
r = 5; N[ArcTan[r], 100] RealDigits[%] (* A195769 *) N[ArcCot[r], 100] RealDigits[%] (* A105532 *) N[ArcSec[r], 100] RealDigits[%] (* A195771 *) N[ArcCsc[r], 100] RealDigits[%] (* A195772 *)
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PARI
atan(5) \\ Charles R Greathouse IV, Nov 20 2024
Formula
Equals arcsin(5/sqrt(26)) = arccos(1/sqrt(26)). - Amiram Eldar, Jul 11 2023