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 A177218 #8 Apr 10 2021 22:27:03
%S A177218 1,8,7,7,7,9,0,3,1,3,2,3,0,4,2,7,7,0,4,3,3,0,1,0,5,2,9,1,2,4,3,8,7,9,
%T A177218 7,0,8,8,2,6,6,3,6,7,7,5,5,7,9,0,0,5,4,0,2,3,5,7,1,2,0,9,0,4,4,4,6,3,
%U A177218 1,1,2,6,1,5,5,0,2,5,9,2,6,5,2,3,9,5,4,7,9,2,3,7,2,8,6,6,0,1,3,0,5,1,6,2,1
%N A177218 Decimal expansion of the integral over cos(Pi*x)*x^(1/x) between 1/e and e.
%C A177218 Strangely close to A037077 which is a sum of the integrand from 1 to infinity.
%H A177218 Marvin Ray Burns, <a href="http://www.mapleprimes.com/blog/marvinrayburns/mrbconstantj">Author's original inquiry</a>
%H A177218 R. J. Mathar, <a href="http://arxiv.org/abs/0912.3844">Numerical evaluation of the oscillatory integral over exp(i*pi*x)x^(1/x) between 1 and infinity</a>, arXiv:0912.3844
%e A177218 0.187779...
%p A177218 Int( cos(Pi*x)*x^(1/x),x=exp(-1)..exp(1)) ; evalf(%) ; # _R. J. Mathar_, May 07 2010
%t A177218 RealDigits[ Re[NIntegrate[(-1)^n*n^(1/n), {n, 1/E, E}, WorkingPrecision -> 200]]]
%Y A177218 A157852 is the same integral from 1 to infinity.
%K A177218 nonn,cons
%O A177218 0,2
%A A177218 _Marvin Ray Burns_, May 04 2010
%E A177218 Definition simplified, keyword:cons inserted, offset corrected by _R. J. Mathar_, May 07 2010