cp's OEIS Frontend

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.

A190396 Number of ways to place 4 nonattacking grasshoppers on a chessboard of size n x n.

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%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