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.

A015319 Gaussian binomial coefficient [ n,5 ] for q = -12.

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%I A015319 #21 Dec 07 2019 12:18:18
%S A015319 1,-229691,57554154133,-14313032243145515,3561712204486990461397,
%T A015319 -886264409554702323499876907,220531019414004693731359534452181,
%U A015319 -54875173091354091477849994502919434795
%N A015319 Gaussian binomial coefficient [ n,5 ] for q = -12.
%D A015319 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 A015319 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
%D A015319 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
%H A015319 Vincenzo Librandi, <a href="/A015319/b015319.txt">Table of n, a(n) for n = 5..190</a>
%H A015319 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (-229691,4796198652,8282638393920,-1193447702974464,-14221861305974784,15407021574586368).
%F A015319 G.f.: -x^5 / ( (x-1)*(1728*x+1)*(20736*x-1)*(12*x+1)*(248832*x+1)*(144*x-1) ). - _R. J. Mathar_, Aug 04 2016
%t A015319 Table[QBinomial[n, 5, -12], {n, 5, 20}] (* _Vincenzo Librandi_, Oct 29 2012 *)
%o A015319 (Sage) [gaussian_binomial(n,5,-12) for n in range(5,13)] # _Zerinvary Lajos_, May 27 2009
%K A015319 sign,easy
%O A015319 5,2
%A A015319 _Olivier Gérard_, Dec 11 1999