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 A116186 #38 Dec 16 2024 05:03:36 %S A116186 9,4,7,1,5,8,9,9,8,0,7,2,3,7,8,3,8,0,6,5,3,4,7,5,3,5,2,0,1,8,1,9,3,3, %T A116186 3,3,5,0,3,9,0,6,1,3,3,9,0,3,1,4,9,3,6,3,6,7,1,3,6,8,1,1,7,9,4,4,6,9, %U A116186 2,9,2,7,9,3,0,0,4,8,8,0,8,4,5,2,6,2,6,2,6,8,4,6,2,6,4,9,0,2,2,3,7,4,9,5,3 %N A116186 Decimal expansion of real part of i^(i^i), that is, Re(i^(i^i)). %C A116186 If Schanuel's Conjecture is true, then i^i^i is transcendental (see Marques and Sondow 2010, p. 79). %H A116186 G. C. Greubel, <a href="/A116186/b116186.txt">Table of n, a(n) for n = 0..10000</a> %H A116186 Steven Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants</a>, arXiv:2001.00578 [math.HO], 2020-2022, Section 1.1. %H A116186 Diego Marques and Jonathan Sondow, <a href="http://arxiv.org/abs/1010.6216">Schanuel's conjecture and algebraic powers z^w and w^z with z and w transcendental</a>, arXiv:1010.6216 [math.NT], 2010-2011; East-West J. Math., 12 (2010), 75-84. %H A116186 Wikipedia, <a href="http://en.wikipedia.org/wiki/Schanuel's_conjecture">Schanuel's conjecture</a>. %F A116186 Equals cos(Pi/2 * e^(-Pi/2)). - _David Ulgenes_, Feb 08 2024 %e A116186 i^(i^i) = 0.947158998072378380653475352018 + 0.320764449979308534660116845875 i. %t A116186 RealDigits[ Re[I^I^I], 10, 100] // First %o A116186 (PARI) real(I^I^I) \\ _Charles R Greathouse IV_, May 15 2013 %o A116186 (Magma) C<I> := ComplexField(100); Real(I^I^I); // _G. C. Greubel_, May 11 2019 %o A116186 (Sage) numerical_approx((i^i^i).real(), digits=100) # _G. C. Greubel_, May 11 2019 %Y A116186 Cf. A049006, A116191. %K A116186 nonn,cons %O A116186 0,1 %A A116186 Peter C. Heinig (algorithms(AT)gmx.de), Apr 15 2007