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.

A015337 Gaussian binomial coefficient [ n,6 ] for q = -13.

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%I A015337 #21 Dec 07 2019 12:18:18
%S A015337 1,4482037,21762709934980,104996653267533662740,
%T A015337 506816536013640476467362442,2446300028783605805772822454177234,
%U A015337 11807825441932996339362317150047214843540
%N A015337 Gaussian binomial coefficient [ n,6 ] for q = -13.
%D A015337 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 A015337 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
%D A015337 M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
%H A015337 Vincenzo Librandi, <a href="/A015337/b015337.txt">Table of n, a(n) for n = 6..100</a>
%H A015337 <a href="/index/Ga#Gaussian_binomial_coefficients">Index entries related to Gaussian binomial coefficients</a>.
%F A015337 a(n) = Product_{i=1..6} ((-13)^(n-i+1)-1)/((-13)^i-1). - _M. F. Hasler_, Nov 03 2012
%t A015337 Table[QBinomial[n, 6, -13], {n, 6, 10}] (* _Vincenzo Librandi_, Oct 29 2012 *)
%o A015337 (Sage) [gaussian_binomial(n,6,-13) for n in range(6,13)] # _Zerinvary Lajos_, May 27 2009
%o A015337 (PARI) A015337(n,r=6,q=-13)=prod(i=1,r,(q^(n-i+1)-1)/(q^i-1)) \\ _M. F. Hasler_, Nov 03 2012
%Y A015337 Cf. Gaussian binomial coefficients [n,r] for q=-13: A015265 (r=2), A015286 (r=3), A015303 (r=4), A015321 (r=5), A015355 (r=7), A015370 (r=8), A015385 (r=9), A015402 (r=10), A015422 (r=11), A015438 (r=12). - _M. F. Hasler_, Nov 03 2012
%K A015337 nonn,easy
%O A015337 6,2
%A A015337 _Olivier Gérard_, Dec 11 1999