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 A015275 #29 Sep 08 2022 08:44:39 %S A015275 1,-300,105050,-35927100,12328144851,-4228301370600,1450319733570100, %T A015275 -497459062806004200,170628488227082949701,-58525570007342935110900, %U A015275 20074270583791406305395150,-6885474806748086165925231300 %N A015275 Gaussian binomial coefficient [ n,3 ] for q = -7. %D A015275 J. Goldman and G.-C. Rota, The number of subspaces of a vector space, pp. 75-83 of W. T. Tutte, editor, Recent Progress in Combinatorics. Academic Press, NY, 1969. %D A015275 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99. %D A015275 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351. %H A015275 Vincenzo Librandi, <a href="/A015275/b015275.txt">Table of n, a(n) for n = 3..200</a> %H A015275 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (-300,15050,102900,-117649). %F A015275 G.f.: x^3/((1-x)*(1+7*x)*(1-49*x)*(1+343*x)). - _Bruno Berselli_, Oct 30 2012 %F A015275 a(n) = (-1 + 43*7^(2n-3) + (-1)^n*7^(n-2)*(43-7^(2n-1)))/132096. - _Bruno Berselli_, Oct 30 2012 %t A015275 QBinomial[Range[3,20],3,-7] (* _Harvey P. Dale_, Apr 09 2012 *) %t A015275 Table[QBinomial[n, 3, -7], {n, 3, 20}] (* _Vincenzo Librandi_, Oct 28 2012 *) %o A015275 (Sage) [gaussian_binomial(n,3,-7) for n in range(3,15)] # _Zerinvary Lajos_, May 27 2009 %o A015275 (Magma) r:=3; q:=-7; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Aug 02 2016 %K A015275 sign,easy %O A015275 3,2 %A A015275 _Olivier Gérard_, Dec 11 1999