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 A194652 #14 Aug 06 2024 09:17:22 %S A194652 0,0,0,32,1205,13260,74494,291708,908973,2416410,5711530,12327414, %T A194652 24743693,46797968,84216990,145288600,241697109,389546478,610597338, %U A194652 933745570,1396771845,2048393204,2950649438,4181658708,5838778525,8042209890,10939084074,14708073198 %N A194652 Number of ways to place 4 nonattacking kings on an n X n cylindrical chessboard. %H A194652 V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Number of ways of placing non-attacking queens, kings, bishops and knights</a> %H A194652 <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 A194652 a(n) = 1/24*n*(n^7 - 54*n^5 + 36*n^4 + 1019*n^3 - 1236*n^2 - 6690*n + 10884), n>=5. %F A194652 G.f.: x^4*(54*x^9 - 384*x^8 + 1052*x^7 - 1263*x^6 + 657*x^5 - 1434*x^4 + 4154*x^3 - 3567*x^2 - 917*x - 32)/(x-1)^9. %t A194652 CoefficientList[Series[x^3*(54*x^9 - 384*x^8 + 1052*x^7 - 1263*x^6 + 657*x^5 - 1434*x^4 + 4154*x^3 - 3567*x^2 - 917*x - 32)/(x - 1)^9, {x, 0, 30}], x] (* _Wesley Ivan Hurt_, Dec 27 2023 *) %Y A194652 Cf. A061997, A179424, A194650, A194651. %K A194652 nonn %O A194652 1,4 %A A194652 _Vaclav Kotesovec_, Aug 31 2011