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.

A015317 Gaussian binomial coefficient [ n,5 ] for q = -11.

This page as a plain text file.
%I A015317 #19 Dec 07 2019 12:18:18
%S A015317 1,-147630,23974093353,-3858153003126520,621401842151984058606,
%T A015317 -100076766678577032638496300,16117472448301015835209097979510,
%U A015317 -2595734922068255016665440444288632600
%N A015317 Gaussian binomial coefficient [ n,5 ] for q = -11.
%D A015317 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 A015317 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
%D A015317 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
%H A015317 Vincenzo Librandi, <a href="/A015317/b015317.txt">Table of n, a(n) for n = 5..200</a>
%F A015317 G.f.: x^5/((1 - x)*(1 + 11*x)*(1 - 121*x)*(1 + 1331*x)*(1 - 14641*x)*(1 + 161051*x)). - _Ilya Gutkovskiy_, Aug 16 2016
%t A015317 Table[QBinomial[n, 5, -11], {n, 5, 20}] (* _Vincenzo Librandi_, Oct 29 2012 *)
%o A015317 (Sage) [gaussian_binomial(n,5,-11) for n in range(5,13)] # _Zerinvary Lajos_, May 27 2009
%K A015317 sign,easy
%O A015317 5,2
%A A015317 _Olivier Gérard_, Dec 11 1999