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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.

A179424 Number of ways to place 4 nonattacking kings on an n X n toroidal board.

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%I A179424 #14 Aug 05 2024 10:18:22
%S A179424 0,0,0,12,575,9837,63553,265008,853497,2312925,5532967,12037068,
%T A179424 24293243,46125317,83243925,143918272,239811333,387002853,607226187,
%U A179424 929346700,1391111127,2041198973,2941608713,4170413232,5824920625,8025278157,10918558863,14683371948,19535039827,25731386325
%N A179424 Number of ways to place 4 nonattacking kings on an n X n toroidal board.
%H A179424 Vincenzo Librandi, <a href="/A179424/b179424.txt">Table of n, a(n) for n = 1..1000</a>
%H A179424 V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Number of ways of placing non-attacking queens and kings on boards of various sizes</a>
%H A179424 <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 A179424 Explicit formula: a(n) = 1/24*n^2*(n^6-54*n^4+1019*n^2-6798), n>=5.
%F A179424 G.f.: x^4*(160*x^9 - 963*x^8 + 2054*x^7 - 1308*x^6 - 963*x^5 - 375*x^4 + 5288*x^3 - 5094*x^2 - 467*x - 12)/(x-1)^9.
%t A179424 CoefficientList[Series[x^3 (160 x^9 - 963 x^8 + 2054 x^7 - 1308 x^6 - 963 x^5 - 375 x^4 + 5288 x^3 - 5094 x^2 -467 x - 12) / (x - 1)^9, {x, 0, 50}], x] (* _Vincenzo Librandi_, Jun 01 2013 *)
%Y A179424 Cf. A061997, A179403, A179404.
%K A179424 nonn,easy
%O A179424 1,4
%A A179424 _Vaclav Kotesovec_, Jan 07 2011