A195628 Decimal expansion of arctan(4).
1, 3, 2, 5, 8, 1, 7, 6, 6, 3, 6, 6, 8, 0, 3, 2, 4, 6, 5, 0, 5, 9, 2, 3, 9, 2, 1, 0, 4, 2, 8, 4, 7, 5, 6, 3, 1, 1, 8, 4, 4, 4, 0, 6, 0, 1, 3, 0, 6, 3, 6, 8, 8, 4, 3, 3, 6, 0, 0, 9, 6, 3, 8, 1, 4, 8, 6, 5, 5, 3, 0, 8, 3, 5, 5, 5, 4, 6, 2, 4, 0, 2, 7, 3, 9, 4, 8, 3, 2, 5, 5, 0, 0, 2, 3, 5, 6, 5, 4, 2
Offset: 1
Examples
arctan(4) = 1.3258176636680324650592392104284756311844406013...
Links
Programs
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Magma
SetDefaultRealField(RealField(125)); Arctan(4); // G. C. Greubel, Apr 13 2023
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Mathematica
r = 4; N[ArcTan[r], 100] RealDigits[%] (* A195628 *) N[ArcCot[r], 100] RealDigits[%] (* A195727 *) N[ArcSec[r], 100] RealDigits[%] (* A195731 *) N[ArcCsc[r], 100] RealDigits[%] (* A195621 *)
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PARI
atan(4) \\ Charles R Greathouse IV, Nov 20 2024
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SageMath
numerical_approx( arctan(4), digits=125) # G. C. Greubel, Apr 13 2023
Formula
Equals arcsin(4/sqrt(17)) = arccos(1/sqrt(17)). - Amiram Eldar, Jul 11 2023