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 A113477 #23 Apr 22 2024 04:58:27
%S A113477 2,4,2,8,6,5,0,6,4,7,8,8,7,5,8,1,6,1,1,8,1,9,9,4,1,6,8,9,7,8,0,9,3,1,
%T A113477 2,4,8,5,5,5,0,3,4,8,4,4,8,7,4,9,0,9,2,7,4,4,1,6,6,2,9,4,1,8,8,0,5,4,
%U A113477 0,5,6,8,7,3,6,1,7,6,9,1,7,4,4,5,4,6,7,2,7,2,7,0,8,8,8,3,5,4,4,3,8,3,9,0,7
%N A113477 Decimal expansion of Gamma(1/3)^3/(2^(4/3)*Pi).
%C A113477 This number is transcendental from a result of Schneider on elliptic integrals.
%H A113477 G. C. Greubel, <a href="/A113477/b113477.txt">Table of n, a(n) for n = 0..5000</a>
%H A113477 Th. Schneider, <a href="http://gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN002173042">Transzendenzuntersuchungen periodischer Funktionen</a>, Journal für die reine und angewandte Mathematik (1935) Volume: 172, page 65-74.
%H A113477 Th. Schneider, <a href="http://gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN002278537">Arithmetische Untersuchungen elliptischer Integrale</a>, Mathematische Annalen (1937) Volume: 113, page I-XIII.
%H A113477 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A113477 Equals Integral_{x>=1} dx/sqrt(4*x^3-4).
%F A113477 Equals 2*Integral_{x=0..1} dx/sqrt(1-x^6). - _Takayuki Tatekawa_, Apr 15 2024
%F A113477 Equals Beta(1/6, 1/2) / 3. - _Peter Luschny_, Apr 15 2024
%e A113477 2.428650647887581611819....
%p A113477 Beta(1/6, 1/2)/3: evalf(%, 106); # _Peter Luschny_, Apr 15 2024
%t A113477 RealDigits[Gamma[1/3]^3/(Pi*2^(4/3)), 10, 5001][[1]] (* _G. C. Greubel_, Mar 12 2017 *)
%o A113477 (PARI) gamma(1/3)^3/2^(4/3)/Pi
%Y A113477 Cf. A085565.
%K A113477 cons,nonn
%O A113477 0,1
%A A113477 _Benoit Cloitre_, Jan 08 2006