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.

A015313 Gaussian binomial coefficient [ n,5 ] for q = -8.

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%I A015313 #18 Dec 07 2019 12:18:18
%S A015313 1,-29127,969583737,-31709385606535,1039306892330748537,
%T A015313 -34054968941001637311879,1115917479276007905665796729,
%U A015313 -36566366524181816928510601278855
%N A015313 Gaussian binomial coefficient [ n,5 ] for q = -8.
%D A015313 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 A015313 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
%D A015313 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
%H A015313 Vincenzo Librandi, <a href="/A015313/b015313.txt">Table of n, a(n) for n = 5..200</a>
%H A015313 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (-29127,121201608,61919137280,-3971534290944,-31274878107648,35184372088832).
%F A015313 G.f.: -x^5 / ( (x-1)*(8*x+1)*(64*x-1)*(512*x+1)*(32768*x+1)*(4096*x-1) ). - _R. J. Mathar_, Aug 04 2016
%t A015313 Table[QBinomial[n, 5, -8], {n, 5, 20}] (* _Vincenzo Librandi_, Oct 29 2012 *)
%o A015313 (Sage) [gaussian_binomial(n,5,-8) for n in range(5,13)] # _Zerinvary Lajos_, May 27 2009
%K A015313 sign,easy
%O A015313 5,2
%A A015313 _Olivier Gérard_, Dec 11 1999