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 A197743 #10 Nov 08 2019 09:47:35 %S A197743 0,2,20,600,70048,34265920,69135737856,563921434969088, %T A197743 18455775305195147264,2418183926567027902291968, %U A197743 1267698967252460350153517105152,2658483881480146168943131337243754496,22300809002478630462447974400280680553512960 %N A197743 The number of connected components in all labeled directed graphs (with self loops allowed) on n nodes. %H A197743 Andrew Howroyd, <a href="/A197743/b197743.txt">Table of n, a(n) for n = 0..50</a> %F A197743 E.g.f.: B(A(x)) where A(x) = log(Sum_{k=1..n} 2^(n^2)x^n/n!) and B(x)= x*exp(x). %F A197743 a(n) = Sum_{k=1..n} k*A186236(n,k). %t A197743 a=Sum[2^(n^2)x^n/n!, {n,0,20}]; Range[0,20]! CoefficientList[Series[a Log[a], {x,0,20}], x] %o A197743 (PARI) seq(n)={my(g=log(sum(k=0, n, 2^(k^2)*x^k/k!) + O(x*x^n))); Vec(serlaplace(g*exp(g)), -(n+1))} \\ _Andrew Howroyd_, Nov 07 2019 %Y A197743 Cf. A062738, A186236. %K A197743 nonn %O A197743 0,2 %A A197743 _Geoffrey Critzer_, Oct 17 2011 %E A197743 Terms a(11) and beyond from _Andrew Howroyd_, Nov 07 2019