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 A172206 #8 Sep 12 2015 11:00:20 %S A172206 0,0,24,926,37282,394202,2484382,10999618,38168864,110899878, %T A172206 281638602,643766432,1352358921,2651129458,4906381466,8648792662, %U A172206 14623854922,23851793294,37697787702,57953320884,86929476107,127563008202,183536011462,259410007946,360775279732 %N A172206 Number of ways to place 7 nonattacking kings on a 7 X n board. %H A172206 Vincenzo Librandi, <a href="/A172206/b172206.txt">Table of n, a(n) for n = 1..1000</a> %H A172206 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> %F A172206 a(n) = (117649n^7 -2873997n^6 +32197753n^5 -215350695n^4 +932130286n^3 -2618213868n^2 +4424623272n -3468569760)/720, n>=6. For any fixed value of k > 1, a(n) = 1/k!*(kn)^k - 3(k-1)(3k-2)/2/k!*(kn)^(k-1) + ... . %F A172206 G.f.: x^3*(3387*x^10 -13990*x^9 +57102*x^8 -55038*x^7 +217860*x^6 +137902*x^5 +324486*x^4 +120530*x^3 +30546*x^2 +734*x +24)/(x-1)^8. - _Vaclav Kotesovec_, Mar 24 2010 %t A172206 CoefficientList[Series[x^2 (3387 x^10 - 13990 x^9 + 57102 x^8 - 55038 x^7 + 217860 x^6 + 137902 x^5 + 324486 x^4 + 120530 x^3 + 30546 x^2 + 734 x + 24) / (x - 1)^8, {x, 0, 50}], x] (* _Vincenzo Librandi_, May 27 2013 *) %Y A172206 Cf. A061993, A172202, A172203, A172204, A172205. %K A172206 nonn,easy %O A172206 1,3 %A A172206 _Vaclav Kotesovec_, Jan 29 2010