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 A094936 #28 Apr 28 2025 12:33:08 %S A094936 2,3,4,1,9,9,3,2,6,0,9,7,2,7,6,6,4,2,7,6,0,9,6,9,0,7,3,8,6,6,6,6,7,4, %T A094936 8,8,8,5,5,6,5,9,6,8,5,1,0,4,2,4,5,7,9,5,5,0,7,8,8,9,0,4,3,8,8,0,6,5, %U A094936 1,3,8,7,0,7,4,8,7,8,2,6,1,5,3,2,0,7,5,0,4,4,0,3,6,2,3,3,4,5,7,2,6,2,6,2 %N A094936 Decimal expansion of 2/(Pi*e). %C A094936 If N(n) denotes the number of real roots of the n-th Bernoulli polynomial then lim_{n->oo} N(n)/n = 2/(e*Pi). %H A094936 A. P. Veselov and J.P. Ward, <a href="https://core.ac.uk/download/pdf/288392784.pdf">On the real roots of the Bernoulli polynomials and the Hurwitz zeta-function</a>, 1999. %H A094936 A. P. Veselov and J.P. Ward, <a href="https://doi.org/10.1016/j.jmaa.2004.12.046">On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials</a>, J. Math. Anal. Appl. 305 (2) (2005) 712-721. %F A094936 Equals 1/A019610. - _Michel Marcus_, Dec 07 2013 %e A094936 0.23419932609727664276... %t A094936 RealDigits[2/(Pi*E), 10, 120][[1]] (* _Amiram Eldar_, Apr 28 2025 *) %o A094936 (PARI) 2/exp(1)/Pi \\ _Charles R Greathouse IV_, Jan 14 2017 %Y A094936 Cf. A000796 (Pi), A001113 (e), A019609, A019610. %K A094936 cons,nonn %O A094936 0,1 %A A094936 _Benoit Cloitre_, Jun 18 2004