|
| |
|
|
A015413
|
|
Gaussian binomial coefficient [ n,11 ] for q=-8.
|
|
2
|
| |
|
|
|
OFFSET
|
11,2
|
|
|
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 = 11..110
|
|
|
FORMULA
|
a(n) = product(((-8)^(n-i+1)-1)/((-8)^i-1), i=1..11) (by definition).- Vincenzo Librandi, Nov 06 2012
|
|
|
MATHEMATICA
|
Table[QBinomial[n, 11, -8], {n, 11, 20}] (* Vincenzo Librandi, Nov 06 2012 *)
|
|
|
PROG
|
(Sage) [gaussian_binomial(n, 11, -8) for n in xrange(11, 17)] # [From Zerinvary Lajos, May 28 2009]
(MAGMA) r:=11; q:=-8; [&*[(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: A104851 A226950 A225141 * A075131 A250865 A108880
Adjacent sequences: A015410 A015411 A015412 * A015414 A015415 A015416
|
|
|
KEYWORD
|
sign,easy
|
|
|
AUTHOR
|
Olivier Gérard
|
|
|
STATUS
|
approved
|
| |
|
|
