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 A174642 #9 Sep 12 2015 11:00:23 %S A174642 0,0,0,0,0,0,0,12,60,180,432,900,1692,2940,4800,7452,11100,15972, %T A174642 22320,30420,40572,53100,68352,86700,108540,134292,164400,199332, %U A174642 239580,285660,338112,397500,464412,539460,623280,716532,819900,934092,1059840 %N A174642 Number of ways to place 4 nonattacking amazons (superqueens) on a 4 X n board. %C A174642 An amazon (superqueen) moves like a queen and a knight %H A174642 Vincenzo Librandi, <a href="/A174642/b174642.txt">Table of n, a(n) for n = 1..1000</a> %H A174642 <a href="http://oprisch.net/SuperQueens/SuperQueens.html">The Oprisch Family Web Site</a> %H A174642 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 A174642 G.f.: -12*x^8*(x^3+1)/(x-1)^5. %F A174642 Explicit formula: a(n) = (n-7)(n^3-21n^2+158n-420), n>=7. %t A174642 CoefficientList[Series[- 12 x^7 (x^3 + 1) / (x - 1)^5, {x, 0, 50}], x] (* _Vincenzo Librandi_, May 30 2013 *) %Y A174642 Cf. A173214, A172201, A172200, A051223, A051224, A036464. %K A174642 nonn,easy %O A174642 1,8 %A A174642 _Vaclav Kotesovec_, Mar 25 2010 %E A174642 More terms from _Vincenzo Librandi_, May 30 2013