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 A190396 #15 Sep 12 2015 11:00:26 %S A190396 0,1,78,1278,10002,50191,189208,584958,1563488,3737987,8181786, %T A190396 16669638,32003238,58438623,102234772,172344406,281269668,446107043, %U A190396 689807558,1042679982,1544166426,2244921423,3209227248,4517779918 %N A190396 Number of ways to place 4 nonattacking grasshoppers on a chessboard of size n x n. %C A190396 The Grasshopper moves on the same lines as a queen, but must jump over a hurdle to land on the square immediately beyond. %H A190396 Vincenzo Librandi, <a href="/A190396/b190396.txt">Table of n, a(n) for n = 1..1000</a> %H A190396 V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Number of ways of placing non-attacking queens, kings, bishops and knights</a> (in English and Czech) %F A190396 a(n) = 1/24*(n^8 -6*n^6 -80*n^5 +431*n^4 -552*n^3 -666*n^2 +2168*n -1392), n>2. %F A190396 G.f.: -x^2*(2*x^9 -22*x^8 +50*x^7 +78*x^6 -89*x^5 -245*x^4 +1224*x^3 +612*x^2 +69*x +1)/(x-1)^9. %t A190396 CoefficientList[Series[- x (2 x^9 - 22 x^8 + 50 x^7 + 78 x^6 - 89 x^5 - 245 x^4 + 1224 x^3 + 612 x^2 + 69 x + 1) / (x - 1)^9, {x, 0, 50}], x] (* _Vincenzo Librandi_, Jun 02 2013 *) %Y A190396 Cf.: A190395, A061994. %K A190396 nonn,easy %O A190396 1,3 %A A190396 _Vaclav Kotesovec_, May 10 2011