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%I #10 Feb 18 2018 12:38:01
%S 0,0,0,0,655,26952,309869,1998752,9124848,33065040,101473009,
%T 274593648,673080928,1522931256,3224953725,6458355776,12330557912,
%U 22588294464,39908439249,68290845520,113579839128,184145882536,291764365485,452734505952,689287992800
%N Number of ways to place 5 nonattacking kings on an n X n cylindrical chessboard.
%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Number of ways of placing non-attacking queens, kings, bishops and knights</a>
%F a(n) = 1/120*n*(n^9 - 90*n^7 + 60*n^6 + 3155*n^5 - 3900*n^4 - 50910*n^3 + 86580*n^2 + 318864*n - 656160), n>=6.
%F G.f.: -x^5*(185*x^11 - 1635*x^10 + 6336*x^9 - 15496*x^8 + 32185*x^7 - 62315*x^6 + 86237*x^5 - 49559*x^4 - 35522*x^3 + 49422*x^2 + 19747*x + 655)/(x-1)^11.
%Y Cf. A061998, A179425, A194650, A194651, A194652.
%K nonn
%O 1,5
%A _Vaclav Kotesovec_, Aug 31 2011
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