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 A382884 #12 Apr 08 2025 15:44:17
%S A382884 0,4,3,1,6,3,5,4,1,5,1,9,1,5,7,3,9,8,0,3,4,0,2,8,5,4,5,5,7,2,8,8,1,5,
%T A382884 5,1,5,2,8,4,6,6,2,1,4,5,5,2,0,4,1,0,1,8,3,6,3,8,1,6,8,2,7,8,7,2,9,7,
%U A382884 0,0,2,5,1,2,2,5,4,3,9,1,5,2,5,5,2,7,3
%N A382884 Decimal expansion of 1/6 + Pi/(12*sqrt(3)) - log(3)/4.
%H A382884 Paolo Xausa, <a href="/A382884/b382884.txt">Table of n, a(n) for n = 0..10000</a>
%H A382884 I. S. Gradsteyn and I. M. Ryzhik, <a href="http://mathtable.com/gr/index.html">Table of integrals, series and products</a> (6th ed.), 2000, (eq. 0.238.3).
%F A382884 Equals Sum_{k>=0} 1/((3*k+1) * (3*k+2) * (3*k+3) * (3*k+4)).
%e A382884 0.04316354151915739803402854557288155...
%t A382884 First[RealDigits[(6 + Pi*Sqrt[3] - 9*Log[3])/36, 10, 100, -1]] (* _Paolo Xausa_, Apr 08 2025 *)
%Y A382884 Cf. A187832, A382854.
%K A382884 nonn,cons
%O A382884 0,2
%A A382884 _Sean A. Irvine_, Apr 07 2025