A015418 Gaussian binomial coefficient [ n,11 ] for q=-11.

1, -261535698060, 75241013495730790109766, -21451022788016578429723510655178620, 6120645196266098901030880937026524413510456541, -1746280663134874755499501790878094901668461626016352027280

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..90

Formula

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

Mathematica

Table[QBinomial[n, 11, -11], {n, 11, 20}] (* Vincenzo Librandi, Nov 06 2012 *)

Prog

(Sage) [gaussian_binomial(n, 11, -11) for n in range(11, 16)] # Zerinvary Lajos, May 28 2009
(Magma) r:=11; q:=-11; [&*[(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: A034618 A226858 A216904 * A271366 A257659 A339189

Adjacent sequences: A015415 A015416 A015417 * A015419 A015420 A015421

Keyword

sign,easy

Author

Olivier Gérard

Status

approved