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 A179060 #20 Apr 14 2024 02:54:52 %S A179060 0,0,0,0,120,4320,52920,376320,1905120,7620480,25613280,75271680, %T A179060 198764280,480960480,1082161080,2289530880,4594961280,8809274880, %U A179060 16225246080,28844881920,49689816120,83217546720,135870624120 %N A179060 Number of non-attacking placements of 5 rooks on an n X n board. %H A179060 Andrew Howroyd, <a href="/A179060/b179060.txt">Table of n, a(n) for n = 1..200</a> %H A179060 Christopher R. H. Hanusa, T. Zaslavsky, and S. Chaiken, <a href="http://arxiv.org/abs/1609.00853">A q-Queens Problem. IV. Queens, Bishops, Nightriders (and Rooks)</a>, arXiv preprint arXiv:1609.00853 [math.CO], 2016-2020. %H A179060 <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 A179060 a(n) = 5! * binomial(n, 5)^2. %F A179060 G.f.: -120*x^5*(x+1)*(x^4+24*x^3+76*x^2+24*x+1) / (x-1)^11. - _Colin Barker_, Jan 08 2013 %t A179060 a[n_] := If[n<5, 0, Coefficient[n!*LaguerreL[n, x], x, n-5] // Abs]; %t A179060 Array[a, 30] (* _Jean-François Alcover_, Jun 14 2018, after A144084 *) %o A179060 (PARI) a(n) = 5! * binomial(n, 5)^2 \\ _Andrew Howroyd_, Feb 13 2018 %Y A179060 Column k=5 of A144084. %Y A179060 Cf. A179059 (4 rooks), A179061 (6 rooks). %K A179060 easy,nonn %O A179060 1,5 %A A179060 _Thomas Zaslavsky_, Jun 27 2010