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 A209899 #12 Aug 03 2014 14:01:40 %S A209899 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4, %T A209899 4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9, %U A209899 9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11 %N A209899 Floor of the expected number of empty cells in a random placement of 2n balls into n cells. %D A209899 W. Feller, An Introduction to Probability Theory and its Applications, 2nd ed, Wiley, New York, 1965, p. 226. %F A209899 a(n) = floor(n*(1-1/n)^(2n)). %t A209899 Table[Floor[n*(1 - 1/n)^(2 n)], {n, 100}] (* _T. D. Noe_, Mar 15 2012 *) %Y A209899 Cf. A209900. %K A209899 nonn %O A209899 1,16 %A A209899 _Washington Bomfim_, Mar 14 2012