login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A015436 Gaussian binomial coefficient [ n,12 ] for q=-12. 2

%I

%S 1,8230246567621,73894863887821708223693461,

%T 658472968288485964089656737315874219221,

%U 5871294272699857358353797657582417236064659116493269,52348839118418455816373076458257326632599555195248225626953928149

%N Gaussian binomial coefficient [ n,12 ] for q=-12.

%D 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 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.

%D M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.

%H Vincenzo Librandi, <a href="/A015436/b015436.txt">Table of n, a(n) for n = 12..90</a>

%F a(n) = Product_{i=1..12} ((-12)^(n-i+1)-1)/((-12)^i-1)) (by definition). - _Vincenzo Librandi_, Nov 06 2012

%t Table[QBinomial[n, 12, -12], {n, 12, 20}] (* _Vincenzo Librandi_, Nov 06 2012 *)

%o (Sage) [gaussian_binomial(n,12,-12) for n in range(12,17)] # _Zerinvary Lajos_, May 28 2009

%o (MAGMA) r:=12; q:=-12; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Nov 06 2012

%K nonn,easy

%O 12,2

%A _Olivier GĂ©rard_

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 19 18:26 EDT 2020. Contains 337181 sequences. (Running on oeis4.)