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 A093853 #15 Jan 14 2025 06:02:03
%S A093853 1,1,0,0,5,918,1045305,34359063140,72057592159917465,
%T A093853 19342813113675737866540892,1329227995784915042800342940013202739,
%U A093853 46768052394588893381973221029683604571061797713236,1684996666696914987166688353104182049991595860118136923187291272117
%N A093853 Number of 3-uniform T_0-hypergraphs without multiple edges on n vertices.
%H A093853 Andrew Howroyd, <a href="/A093853/b093853.txt">Table of n, a(n) for n = 0..25</a>
%F A093853 E.g.f.: (1+x)*exp(-x+x^2/2+x^3/3)*Sum_{n>=0} 2^binomial(n, 3)*exp(-2^(n-1)*x^2)*x^n/n!.
%o A093853 (PARI) seq(n)={Vec(serlaplace((1 + x)*exp(-x + x^2/2 + x^3/3 + O(x*x^n))*sum(k=0, n, 2^binomial(k, 3)*exp(-2^(k-1)*x^2 + O(x*x^(n-k)))*x^k/k!)))} \\ _Andrew Howroyd_, Jan 29 2020
%Y A093853 Cf. A094630, A094631.
%K A093853 nonn
%O A093853 0,5
%A A093853 Goran Kilibarda and _Vladeta Jovovic_, May 21 2004