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 A175379 #46 Sep 08 2022 08:45:51 %S A175379 5,5,6,6,3,1,6,0,0,1,7,8,0,2,3,5,2,0,4,2,5,0,0,9,6,8,9,5,2,0,7,7,2,6, %T A175379 1,1,1,3,9,8,7,9,9,1,1,4,8,7,2,8,5,3,4,6,1,6,1,6,7,4,4,6,2,6,3,2,2,9, %U A175379 0,7,5,0,2,8,1,7,8,0,2,3,0,5,5,0,3,3,8,9,6,5,3,6,2,1,0,2,1,7,5,4,6,5,9,8,1 %N A175379 Decimal expansion of Gamma(1/6). %C A175379 A175379 * A073005 * A002161 * A073006 * A203145 = 4*sqrt(Pi^5/3), which is the case n=6 of Product_{i=1..n-1} Gamma(i/n) = sqrt((2*Pi)^(n-1)/n). - _Bruno Berselli_, Dec 18 2012 %C A175379 The transcendence of this constant is in the mathematical folklore; see Finch (who credits Nesterenko) and Gun-Murty-Rath. - _Charles R Greathouse IV_, Nov 11 2013 %H A175379 G. C. Greubel, <a href="/A175379/b175379.txt">Table of n, a(n) for n = 1..5000</a> %H A175379 Steven Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and addenda to Mathematical Constants</a> (2013) %H A175379 Sanoli Gun, M. Ram Murty, and Purusottam Rath, <a href="http://www.mast.queensu.ca/~murty/gun-murty-rath2.pdf">Transcendence of the log gamma function and some discrete periods</a>, J. Number Theory (2009), doi:10.1016/j.jnt.2009.01.008 %H A175379 R. Vidunas, <a href="http://arxiv.org/abs/math/0403510">Expressions for values of the Gamma function</a>, arxiv:math/0403510 [math.CA], 2004. %H A175379 Wikipedia, <a href="http://en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function#General_rational_arguments">Particular values of the Gamma function: General rational arguments</a> %H A175379 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %H A175379 <a href="/index/Ga#gamma_function">Index entries to sequences related to the Gamma function</a> %F A175379 Equals 2*Pi/A203145 = A002194 * A073005^2 / (A002161 * A002580) = A019692 / 1.12878703.... %e A175379 Equals 5.56631600178023... %p A175379 evalf(GAMMA(1/6)) ; %t A175379 RealDigits[Gamma[1/6], 10, 110][[1]] (* _Bruno Berselli_, Dec 13 2012 *) %o A175379 (PARI) gamma(1/6) \\ _Charles R Greathouse IV_, Nov 16 2013 %o A175379 (Magma) SetDefaultRealField(RealField(100)); Gamma(1/6); // _G. C. Greubel_, Mar 10 2018 %Y A175379 Cf. A073006, A203145. %K A175379 cons,nonn %O A175379 1,1 %A A175379 _R. J. Mathar_, Apr 24 2010