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 A380141 #10 Feb 05 2025 22:20:43 %S A380141 0,6,5,6,8,9,7,6,4,7,3,5,1,5,3,5,3,2,0,9,0,2,6,6,8,7,9,9,6,7,6,6,1,0, %T A380141 1,0,3,3,6,5,0,8,9,1,5,3,4,7,5,0,3,9,9,9,6,8,5,7,0,0,4,6,9,9,0,6,3,7, %U A380141 1,3,2,9,1,5,2,3,9,9,2,2,9,0,3,5,6,0,4,6 %N A380141 Decimal expansion of the real part of (-1)^sqrt(i), negated, where i is the imaginary unit. %H A380141 Math Beast, <a href="https://www.youtube.com/watch?v=8jYZwaF1_bI">Oxford university entrance exam question</a>, YouTube video, 2025. %F A380141 Equals -cos(Pi/sqrt(2))/exp(Pi/sqrt(2)). %e A380141 0.0656897647351535320902668799676610103365089153475... %p A380141 evalf[140](-Re((-1)^sqrt(I))); # _Alois P. Heinz_, Jan 23 2025 %t A380141 Prepend[RealDigits[Re[(-1)^Sqrt[I]], 10, 87][[1]], 0] (* _Shenghui Yang_, Jan 23 2025 *) %o A380141 (PARI) real((-1)^sqrt(I)) %Y A380141 A380142 is the imaginary part. %Y A380141 Cf. A247719. %K A380141 nonn,cons,easy %O A380141 0,2 %A A380141 _Hugo Pfoertner_, Jan 23 2025