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 A094545 #14 Feb 16 2025 08:32:53 %S A094545 1,1,1,4,17,176,2287,49540,1518337,67457584,4254836111,376795261844, %T A094545 46709151254449,8061849904932136,1936383997541071639, %U A094545 646603398091877815516,300476951799493029958913 %N A094545 Number of minimal T_0-covers of an n-set. %C A094545 A cover of a set is a T_0-cover if for every two distinct points of the set there exists a member (block) of the cover containing one but not the other point. %C A094545 Row sums of A094544. %H A094545 Goran Kilibarda and Vladeta Jovovic, <a href="https://arxiv.org/abs/1411.4187">Enumeration of some classes of T_0-hypergraphs</a>, arXiv:1411.4187 [math.CO], 2014. %H A094545 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MinimalCover.html">Minimal Cover</a>. %F A094545 a(n) = Sum_{m=0..n} (n!/m!)*binomial(2^m-m-1, n-m). %F A094545 a(n) = Sum_{m=0..n} Stirling1(n, m)*A046165(m). %F A094545 E.g.f.: Sum_{n>=0} x^n*(1+x)^(2^n-n-1)/n!. %Y A094545 Cf. A035348, A046165, A094544, A094546. %K A094545 easy,nonn %O A094545 0,4 %A A094545 Goran Kilibarda and _Vladeta Jovovic_, May 08 2004