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 A015258 #30 Sep 08 2022 08:44:39 %S A015258 1,43,2150,105050,5149551,252313293,12363454300,605808540100, %T A015258 29684623509101,1454546516636543,71272779562356450, %U A015258 3492366196825305150,171125943656551078651,8385171239086224969793,410873390715818468708600,20132796145070950850400200 %N A015258 Gaussian binomial coefficient [ n,2 ] for q = -7. %D A015258 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 A015258 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99. %D A015258 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351. %H A015258 Vincenzo Librandi, <a href="/A015258/b015258.txt">Table of n, a(n) for n = 2..200</a> %H A015258 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (43,301,-343). %F A015258 G.f.: x^2/((1-x)*(1+7x)*(1-49x)). %F A015258 a(n) = (6*(-7)^n - 7 +49^n)/2688. - _R. J. Mathar_, May 25 2011 %F A015258 a(n) = 43*a(n-1) + 301*a(n-2) - 343*a(n-3), n >= 5. - _Harvey P. Dale_, May 25 2011 %t A015258 CoefficientList[Series[1/((1-x)(1+7x)(1-49x)),{x,0,20}],x] (* or *) LinearRecurrence[{43,301,-343},{1,43,2150},20] (* _Harvey P. Dale_, May 25 2011 *) %t A015258 Table[QBinomial[n, 2, -7], {n, 2, 20}] (* _Vincenzo Librandi_, Oct 27 2012 *) %o A015258 (Sage) [gaussian_binomial(n,2,-7) for n in range(2,16)] # _Zerinvary Lajos_, May 27 2009 %o A015258 (Magma) I:=[1, 43, 2150]; [n le 3 select I[n] else 43*Self(n-1) + 301*Self(n-2) - 343*Self(n-3): n in [1..20]]; // _Vincenzo Librandi_, Oct 27 2012 %K A015258 nonn,easy %O A015258 2,2 %A A015258 _Olivier Gérard_, Dec 11 1999