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 A015255 #31 Sep 08 2022 08:44:39 %S A015255 1,21,546,13546,339171,8476671,211929796,5298179796,132454820421, %T A015255 3311368882921,82784230211046,2069605714586046,51740143068101671, %U A015255 1293503575685289171,32337589397218492296,808439734905030992296 %N A015255 Gaussian binomial coefficient [ n,2 ] for q = -5. %D A015255 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 A015255 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99. %D A015255 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351. %H A015255 Vincenzo Librandi, <a href="/A015255/b015255.txt">Table of n, a(n) for n = 2..200</a> %H A015255 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (21,105,-125). %F A015255 G.f.: x^2/((1-x)*(1+5*x)*(1-25*x)). %F A015255 a(0)=1, a(1)=21, a(2)=546, a(n) = 21*a(n-1) + 105*a(n-2) - 125*a(n-3). - _Harvey P. Dale_, Jun 24 2011 %t A015255 Table[QBinomial[n,2,-5],{n,2,22}] (* or *) LinearRecurrence[ {21,105,-125}, {1,21,546},21] (* _Harvey P. Dale_, Jun 24 2011 *) %o A015255 (Sage) [gaussian_binomial(n,2,-5) for n in range(2,18)] # _Zerinvary Lajos_, May 27 2009 %o A015255 (Magma) I:=[1, 21, 546]; [n le 3 select I[n] else 21*Self(n-1) + 105*Self(n-2) - 125*Self(n-3): n in [1..30]] // _Vincenzo Librandi_, Oct 27 2012 %K A015255 nonn,easy %O A015255 2,2 %A A015255 _Olivier Gérard_, Dec 11 1999