A356983 Decimal expansion of Pi * e^(-Pi/2).
6, 5, 3, 0, 7, 2, 9, 4, 9, 8, 9, 4, 9, 1, 2, 1, 3, 1, 3, 8, 9, 5, 3, 1, 8, 8, 1, 1, 1, 7, 2, 2, 5, 4, 3, 1, 5, 6, 7, 6, 0, 0, 1, 4, 5, 3, 6, 8, 3, 6, 9, 1, 1, 6, 9, 4, 6, 7, 9, 7, 8, 2, 7, 5, 5, 1, 9, 2, 2, 5, 8, 5, 7, 6, 0, 9, 0, 8, 5, 2, 2, 3, 4, 3, 7, 7, 3, 8, 5, 3, 9, 5, 3, 1, 8, 2, 4
Offset: 0
Examples
0.653072949894912131389531881117225431...
Links
- Michael Penn, This integral looks crazy, YouTube video, 2022.
Programs
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Mathematica
RealDigits[Pi * Exp[-Pi/2], 10, 100][[1]]
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PARI
Pi * exp(-Pi/2)
Formula
Equals Integral_{x=0..Pi} i^tan(x) dx, where i is the imaginary unit.