%I #17 Mar 11 2018 04:54:40
%S 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 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 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 Decimal expansion of 2/(Pi*e).
%C If N(n) denotes the number of real roots of the n-th Bernoulli polynomial then lim_{n->infinity} N(n)/n = 2/(e*Pi).
%H A. P. Veselov and J.P. Ward, <a href="http://www.lboro.ac.uk/microsites/maths/research/preprints/papers99/99-35.pdf">On the real roots of the Bernoulli polynomials and the Hurwitz zeta-function</a>, 1999
%F 2/(Pi*e) = 0.23419932609727664276...
%F Equals 1/A019610. - _Michel Marcus_, Dec 07 2013
%o (PARI) 2/exp(1)/Pi \\ _Charles R Greathouse IV_, Jan 14 2017
%K cons,nonn
%O 0,1
%A _Benoit Cloitre_, Jun 18 2004