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 A344778 #21 Aug 06 2024 05:45:48 %S A344778 9,6,9,4,4,0,5,8,9,2,3,5,1,5,3,2,0,1,4,4,9,7,2,4,7,9,4,9,4,6,4,3,0,9, %T A344778 4,0,8,7,8,9,0,1,7,6,8,0,6,0,3,7,9,0,4,6,1,7,3,4,7,2,7,2,2,9,8,7,3,0, %U A344778 4,7,9,9,6,5,7,1,3,1,0,5,7,7,6,7,0,1,3 %N A344778 Decimal expansion of 4 * Pi^5 / (729 * sqrt(3)). %D A344778 L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (310). %H A344778 Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">Shamos's catalog of the real numbers</a> (2011). %H A344778 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %F A344778 Equals 2^2 * Pi^5 / (3^6 * sqrt(3)). %F A344778 Equals 1 + Sum_{k>=1} ( 1/(3*k+1)^5 - 1/(3*k-1)^5 ). %F A344778 Equals Product_{p prime} (1 - Kronecker(-3, p)/p^5)^(-1) = Product_{p prime != 3} (1 + (-1)^(p mod 3)/p^5)^(-1). - _Amiram Eldar_, Nov 06 2023 %e A344778 0.969440589235153201449724794946430940... %t A344778 RealDigits[(4 Pi^5)/(729Sqrt[3]),10,120][[1]] (* _Harvey P. Dale_, Mar 09 2023 *) %Y A344778 Cf. A129404, A344727, A344688. %K A344778 nonn,cons %O A344778 0,1 %A A344778 _Sean A. Irvine_, Aug 17 2021