This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A380142 #11 Feb 26 2025 09:42:50 %S A380142 0,8,6,2,9,5,0,4,8,1,8,0,2,3,6,2,8,1,1,2,8,5,3,4,7,5,1,8,3,7,3,2,6,5, %T A380142 4,0,9,6,4,9,3,8,9,3,6,6,2,6,8,0,2,5,2,5,3,0,4,9,6,6,8,7,6,1,5,4,5,5, %U A380142 9,3,8,8,1,4,7,4,4,1,7,1,2,4,6,0,4,7,8,4,6 %N A380142 Decimal expansion of the imaginary part of (-1)^sqrt(i), where i is the imaginary unit. %H A380142 Paolo Xausa, <a href="/A380142/b380142.txt">Table of n, a(n) for n = 0..10000</a> %H A380142 Math Beast, <a href="https://www.youtube.com/watch?v=8jYZwaF1_bI">Oxford university entrance exam question</a>, YouTube video, 2025. %F A380142 Equals sin(Pi/sqrt(2))/exp(Pi/sqrt(2)). %e A380142 0.0862950481802362811285347518373265409649389366268... %p A380142 evalf[140](Im((-1)^sqrt(I))); # _Alois P. Heinz_, Jan 23 2025 %t A380142 First[RealDigits[Im[(-1)^Sqrt[I]], 10, 100, -1]] (* _Paolo Xausa_, Feb 26 2025 *) %o A380142 (PARI) imag((-1)^sqrt(I)) %Y A380142 A380141 is the real part. %Y A380142 Cf. A247719. %K A380142 nonn,cons,easy %O A380142 0,2 %A A380142 _Hugo Pfoertner_, Jan 23 2025