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 A015324 #24 Jun 30 2025 23:46:41
%S A015324 1,547,448540,315323620,232740363922,168973319623174,
%T A015324 123350523324917020,89881489830655851460,65533580739687859229563,
%U A015324 47771556642163840723529281,34826053765400471578213696840
%N A015324 Gaussian binomial coefficient [ n,6 ] for q = -3.
%D A015324 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 A015324 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
%D A015324 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
%H A015324 Vincenzo Librandi, <a href="/A015324/b015324.txt">Table of n, a(n) for n = 6..200</a>
%H A015324 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (547,149331,-11711817,-316219059,2939282073,7848852129,-10460353203).
%F A015324 G.f.: x^6 / ( (x-1)*(27*x+1)*(81*x-1)*(729*x-1)*(9*x-1)*(3*x+1)*(243*x+1) ). - _R. J. Mathar_, Aug 04 2016
%F A015324 G.f. with offset 0: exp(Sum_{n >= 1} A015518(7*n)/A015518(n) * (-x)^n/n) = 1 + 547*x + 448540*x^2 + .... - _Peter Bala_, Jun 29 2025
%t A015324 Table[QBinomial[n, 6, -3], {n, 6, 20}] (* _Vincenzo Librandi_, Oct 29 2012 *)
%o A015324 (Sage) [gaussian_binomial(n,6,-3) for n in range(6,17)] # _Zerinvary Lajos_, May 27 2009
%Y A015324 Gaussian binomial coefficient [n, k]_q for q = -3: A015251 (k = 2), A015268 (k = 3), A015288 (k = 4), A015306 (k = 5), this sequence (k = 6), A015340 (k = 7), A015357 (k = 8), A015375 (k = 9), A015388 (k = 10).
%K A015324 nonn,easy
%O A015324 6,2
%A A015324 _Olivier Gérard_, Dec 11 1999