cp's OEIS Frontend

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.

A015408 Gaussian binomial coefficient [ n,11 ] for q=-4.

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%I A015408 #19 Sep 08 2022 08:44:39
%S A015408 1,-3355443,15011998086813,-61996192875273494691,
%T A015408 261050608944894743386831965,-1093857392934787687867181291059107,
%U A015408 4589090822384565497755014953620236474461,-19246867256860431244800698494652605702283863971
%N A015408 Gaussian binomial coefficient [ n,11 ] for q=-4.
%D A015408 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 A015408 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
%D A015408 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
%H A015408 Vincenzo Librandi, <a href="/A015408/b015408.txt">Table of n, a(n) for n = 11..150</a>
%F A015408 a(n) = Product_{i=1..11} ((-4)^(n-i+1)-1)/((-4)^i-1) (by definition). - _Vincenzo Librandi_, Nov 05 2012
%t A015408 Table[QBinomial[n, 11, -4], {n, 11, 20}] (* _Vincenzo Librandi_, Nov 05 2012 *)
%o A015408 (Sage) [gaussian_binomial(n,11,-4) for n in range(11,18)] # _Zerinvary Lajos_, May 28 2009
%o A015408 (Magma)  r:=11; q:=-4; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // _Vincenzo Librandi_, Nov 05 2012
%K A015408 sign,easy
%O A015408 11,2
%A A015408 _Olivier Gérard_