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 A097173 #7 Aug 26 2016 02:35:40 %S A097173 0,2,0,48,120,4560,35700,1048992,15514128,456726240,10073339100, %T A097173 323266492560,9361060088952,336767513038320,11913610172869860, %U A097173 482920107426039360,19998225191360977440,909512248720724321472 %N A097173 Total number of green nodes among tricolored labeled trees on n nodes. %H A097173 S. Coulomb and M. Bauer, <a href="http://arXiv.org/abs/math.CO/0407456">On vertex covers, matchings and random trees</a> %F A097173 E.g.f.: A(x) = T(-T(x))^2, with T(x)=Sum[k=1..inf, A000169(k)/k!*x^k]. %F A097173 a(n) = -2 * n^(n-1) * Sum[l=1..n, (-l/n)^l*(1/l-1)*C(n, l)]. %F A097173 a(n) ~ 2*LambertW(1)^2*n^(n-1)/(1+LambertW(1)). - _Vaclav Kotesovec_, Aug 26 2016 %t A097173 Rest[CoefficientList[Series[LambertW[-LambertW[-x]]^2, {x, 0, 20}], x] * Range[0, 20]!] (* _Vaclav Kotesovec_, Aug 26 2016 *) %Y A097173 Cf. A097170, A097171, A097172, A097174, A000272. %K A097173 nonn %O A097173 1,2 %A A097173 _Ralf Stephan_, Jul 30 2004