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 A215864 #13 Jul 22 2019 20:49:32 %S A215864 0,137,1267,6412,23597,70707,183099,424809,904299,1795794,3367364, %T A215864 6017011,10318126,17075786,27395466,42765846,65157498,97139343, %U A215864 142014873,203980238,288306403,401547685,551779085,748864935,1004761485,1333856160,1753346322,2283660477 %N A215864 Number of simple labeled graphs on n+4 nodes with exactly n connected components that are trees or cycles. %H A215864 Alois P. Heinz, <a href="/A215864/b215864.txt">Table of n, a(n) for n = 0..1000</a> %H A215864 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1). %F A215864 G.f.: (7*x^3+59*x^2-34*x-137)*x/(x-1)^9. %F A215864 a(n) = C(n+4,5)*(15*n^3+390*n^2+2285*n+3886)/48. %p A215864 a:= n-> binomial(n+4,5)*(3886+(2285+(390+15*n)*n)*n)/48: %p A215864 seq(a(n), n=0..40); %t A215864 CoefficientList[Series[(7x^3+59x^2-34x-137)x/(x-1)^9,{x,0,30}],x] (* _Harvey P. Dale_, Jul 18 2019 *) %Y A215864 A diagonal of A215861. %K A215864 nonn,easy %O A215864 0,2 %A A215864 _Alois P. Heinz_, Aug 25 2012