A015383 Gaussian binomial coefficient [ n,9 ] for q=-11.

1, -2161452050, 5139062461110267955, -12108543136400139930131294300, 28553261556033167915025118560778623715, -67326679110860591163925513616845073983121067050, 158752877164012182076561255078472431325233637546101158985

Offset

9,2

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 = 9..110

Formula

a(n)=product_{i=1..9} ((-11)^(n-i+1)-1)/((-11)^i-1). - Vincenzo Librandi, Nov 04 2012

Mathematica

Table[QBinomial[n, 9, -11], {n, 9, 20}] (* Vincenzo Librandi, Nov 04 2012 *)

Prog

(Magma) r:=9; q:=-11; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Nov 04 2012

Crossrefs

Cf. Gaussian binomial coefficients [n, 9] for q = -2..-13: A015371, A015375, A015376, A015377, A015378, A015379, A015380, A015381, A015382, A015384, A015385. - Vincenzo Librandi, Nov 04 2012

Sequence in context: A096560 A011581 A200526 * A016872 A016920 A017064

Adjacent sequences: A015380 A015381 A015382 * A015384 A015385 A015386

Keyword

sign,easy

Author

Olivier Gérard

Status

approved