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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A015429 Gaussian binomial coefficient [ n,12 ] for q=-6. 3
1, 1865813431, 4177511710786827427, 9051628015237517688012698587, 19718638974813744289323111717093729163, 42917665763197914342331213431251480044434903403 (list; graph; refs; listen; history; text; internal format)
OFFSET

12,2

REFERENCES

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.

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

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

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 12..120

FORMULA

a(n) = Product_{i=1..12} ((-6)^(n-i+1)-1)/((-6)^i-1). - Vincenzo Librandi, Nov 06 2012

MATHEMATICA

Table[QBinomial[n, 12, -6], {n, 12, 20}] (* Vincenzo Librandi, Nov 06 2012 *)

PROG

(Sage) [gaussian_binomial(n, 12, -6) for n in range(12, 18)] # Zerinvary Lajos, May 28 2009

(MAGMA) r:=12; q:=-6; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Nov 06 2012

CROSSREFS

Sequence in context: A251401 A325900 A251282 * A263562 A204813 A103752

Adjacent sequences:  A015426 A015427 A015428 * A015430 A015431 A015432

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard

STATUS

approved

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 January 21 10:26 EST 2020. Contains 331105 sequences. (Running on oeis4.)