A182168 Decimal expansion of imaginary part of i^(1/4).
3, 8, 2, 6, 8, 3, 4, 3, 2, 3, 6, 5, 0, 8, 9, 7, 7, 1, 7, 2, 8, 4, 5, 9, 9, 8, 4, 0, 3, 0, 3, 9, 8, 8, 6, 6, 7, 6, 1, 3, 4, 4, 5, 6, 2, 4, 8, 5, 6, 2, 7, 0, 4, 1, 4, 3, 3, 8, 0, 0, 6, 3, 5, 6, 2, 7, 5, 4, 6, 0, 3, 3, 9, 6, 0, 0, 8, 9, 6, 9, 2, 2, 3, 7, 0, 1, 3, 7, 8, 5, 3, 4, 2, 2, 8, 3, 5, 4, 7, 1, 4, 8, 4, 2, 4
Offset: 0
Examples
0.382683432365089771728459984...
Links
- G. C. Greubel, Table of n, a(n) for n = 0..10000
- Michael Penn, The exact value of sin 5⅝°??, YouTube video, 2021.
- Index entries for algebraic numbers, degree 4
Crossrefs
Cf. A144981.
Programs
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Maple
evalf(sin(Pi/8)) ; # R. J. Mathar, Jan 10 2013
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Mathematica
RealDigits[Sqrt[2-Sqrt[2]]/2, 10, 120][[1]] (* G. C. Greubel, Sep 04 2022 *)
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PARI
sin(Pi/8) \\ Charles R Greathouse IV, Jan 09 2022
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SageMath
numerical_approx(sqrt(2-sqrt(2))/2, digits=120) # G. C. Greubel, Sep 04 2022
Formula
Equals sqrt(2-sqrt(2)) / 2 = A101464/2. - Bernard Schott, Apr 12 2022
This^2 + A144981^2=1. - R. J. Mathar, Aug 31 2025
Smallest positive root of 8*x^4-8*x^2+1=0. - R. J. Mathar, Aug 31 2025
Comments