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 A015436 #23 Dec 30 2024 21:53:30 %S A015436 1,8230246567621,73894863887821708223693461, %T A015436 658472968288485964089656737315874219221, %U A015436 5871294272699857358353797657582417236064659116493269,52348839118418455816373076458257326632599555195248225626953928149 %N A015436 Gaussian binomial coefficient [ n,12 ] for q=-12. %D A015436 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 A015436 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99. %D A015436 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351. %H A015436 Vincenzo Librandi, <a href="/A015436/b015436.txt">Table of n, a(n) for n = 12..90</a> %F A015436 a(n) = Product_{i=1..12} ((-12)^(n-i+1)-1)/((-12)^i-1) (by definition). - _Vincenzo Librandi_, Nov 06 2012 %t A015436 Table[QBinomial[n, 12, -12], {n, 12, 20}] (* _Vincenzo Librandi_, Nov 06 2012 *) %o A015436 (Sage) [gaussian_binomial(n,12,-12) for n in range(12,17)] # _Zerinvary Lajos_, May 28 2009 %o A015436 (Magma) r:=12; q:=-12; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Nov 06 2012 %K A015436 nonn,easy %O A015436 12,2 %A A015436 _Olivier Gérard_