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 A179425 #14 Aug 05 2024 10:19:41
%S A179425 0,0,0,0,10,14940,229908,1678336,8155404,30614620,96011322,263506752,
%T A179425 652150382,1485650012,3161648520,6355083264,12167739256,22339050588,
%U A179425 39536586430,67748508480,112804636266,183057635420,290261282204,450688785408,686540794500,1027700020828,1513897376994,2197363228480,3146046781446,4447496831580
%N A179425 Number of ways to place 5 nonattacking kings on an n X n toroidal board.
%H A179425 Vincenzo Librandi, <a href="/A179425/b179425.txt">Table of n, a(n) for n = 1..1000</a>
%H A179425 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 A179425 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).
%F A179425 Explicit formula: a(n) = 1/120*n^2*(n^8-90n^6+3155n^4-51450n^2+332544), n>=6.
%F A179425 G.f.: -2x^5*(260x^11 - 1932x^10 + 6567x^9 - 16223x^8 + 38507x^7 - 77869x^6 + 102208x^5 - 61576x^4 - 15301x^3 + 33059x^2 + 7415x + 5)/(x-1)^11.
%t A179425 CoefficientList[Series[- 2 x^4 (260 x^11 - 1932 x^10 + 6567 x^9 - 16223 x^8 + 38507 x^7 - 77869 x^6 + 102208 x^5 - 61576 x^4 - 15301 x^3 + 33059 x^2 + 7415 x + 5) / (x - 1)^11, {x, 0, 50}], x] (* _Vincenzo Librandi_, Jun 01 2013 *)
%Y A179425 Cf. A061998, A179403, A179404, A179424.
%K A179425 nonn,easy
%O A179425 1,5
%A A179425 _Vaclav Kotesovec_, Jan 07 2011