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 A387235 #8 Aug 23 2025 09:57:10 %S A387235 4,6,2,0,9,8,1,2,0,3,7,3,2,9,6,8,7,2,9,4,4,8,2,1,4,1,4,3,0,5,4,5,1,0, %T A387235 4,5,3,8,3,6,6,6,7,5,6,2,4,0,1,7,0,1,6,9,4,1,3,7,8,6,6,7,2,9,9,5,5,9, %U A387235 5,7,4,7,9,7,9,7,9,6,4,7,7,0,7,0,5,7,5,5,5,1,3,3,0,9,4,5,7,9,1,6 %N A387235 Decimal expansion of 2*log(2)/3. %C A387235 Area enclosed by the curve of the equation x^6 + y^6 - x^3*y + x*y^3 = 0. %C A387235 The asymptotic mean of A256232. - _Amiram Eldar_, Aug 23 2025 %H A387235 Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 436. %H A387235 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %F A387235 Equals A002162*A010722. %F A387235 Equals log(4)/3 = A010701*A016627. %F A387235 Equals Sum_{k>=0} (-1)^k/((3*k + 1)*(3*k + 2)) = Integral_{x=0..1} x^2*log(1 + 1/x^3) = -Integral_{x=0..1} log[1 - x^6]/x^4. [Shamos] %F A387235 Equals A016627/3 = 2*A193535. - _Hugo Pfoertner_, Aug 23 2025 %e A387235 0.46209812037329687294482141430545104538366675624... %t A387235 RealDigits[2Log[2]/3,10,100][[1]] %Y A387235 Cf. A002162, A001504, A010701, A010722, A016627, A193535, A256232. %K A387235 nonn,cons,new %O A387235 0,1 %A A387235 _Stefano Spezia_, Aug 23 2025