cp's OEIS Frontend

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.

A174644 Number of ways to place 5 nonattacking amazons (superqueens) on a 5 X n board.

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%I A174644 #11 Sep 12 2015 11:00:23
%S A174644 0,0,0,0,0,0,0,4,40,204,708,1968,4712,10064,19656,35744,61328,100272,
%T A174644 157424,238736,351384,503888,706232,969984,1308416,1736624,2271648,
%U A174644 2932592,3740744,4719696,5895464,7296608,8954352,10902704,13178576,15821904
%N A174644 Number of ways to place 5 nonattacking amazons (superqueens) on a 5 X n board.
%C A174644 An amazon (superqueen) moves like a queen and a knight.
%H A174644 Vincenzo Librandi, <a href="/A174644/b174644.txt">Table of n, a(n) for n = 1..1000</a>
%H A174644 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 A174644 <a href="http://oprisch.net/SuperQueens/SuperQueens.html">The Oprisch Family Web Site</a>
%F A174644 G.f.: 4*x^8*(x^9+x^8+7*x^7-6*x^6+5*x^5+10*x^4+x^3+6*x^2+4*x+1)/(x-1)^6.
%F A174644 Explicit formula: a(n) = n^5-44n^4+823n^3-8168n^2+42796n -93984, n>=12.
%t A174644 CoefficientList[Series[4 x^7 (x^9 + x^8 + 7 x^7 - 6 x^6 + 5 x^5 + 10 x^4 + x^3 + 6 x^2 + 4 x + 1) / (x - 1)^6, {x, 0, 50}], x] (* _Vincenzo Librandi_, May 30 2013 *)
%Y A174644 Cf. A174642.
%K A174644 nonn,easy
%O A174644 1,8
%A A174644 _Vaclav Kotesovec_, Mar 25 2010
%E A174644 More terms from _Vincenzo Librandi_, May 30 2013