A015411 Gaussian binomial coefficient [ n,11 ] for q=-7.

1, -1730160900, 3492366196825305150, -6885474806748086165925231300, 13620506320919298149305087013514770853, -26930589057943180119027708901012791326856423600, 53251026575272012092468957753658186409285293414393640600

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..120

Formula

a(n) = Product_{i=1..11} ((-7)^(n-i+1)-1)/((-7)^i-1) (by definition). - Vincenzo Librandi, Nov 06 2012

Mathematica

Table[QBinomial[n, 11, -7], {n, 11, 20}] (* Vincenzo Librandi, Nov 05 2012 *)

Prog

(Sage) [gaussian_binomial(n, 11, -7) for n in range(11, 17)] # Zerinvary Lajos, May 28 2009
(Magma) r:=11; q:=-7; [&*[(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: A129474 A204347 A228376 * A034649 A211240 A258423

Adjacent sequences: A015408 A015409 A015410 * A015412 A015413 A015414

Keyword

sign,easy

Author

Olivier Gérard

Status

approved