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A015354 Gaussian binomial coefficient [ n,7 ] for q = -12. 2
1, -33075515, 1193443303932565, -42738498397393357626155, 1531471524472711661173885667797, -54875173091354091477849994502919434795, 1966277324678482270775562667263264108238642645, -70455269606355713779351701809782497716434153197609515 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,2

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 = 7..140

MATHEMATICA

QBinomial[Range[7, 20], 7, -12] (* Harvey P. Dale, Mar 17 2012 *)

PROG

(Sage) [gaussian_binomial(n, 7, -12) for n in xrange(7, 13)] # Zerinvary Lajos, May 27 2009

(MAGMA) r:=7; q:=-12; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..15]]; // Vincenzo Librandi, Nov 02 2012

CROSSREFS

Sequence in context: A206043 A157080 A157081 * A256356 A153324 A184571

Adjacent sequences:  A015351 A015352 A015353 * A015355 A015356 A015357

KEYWORD

sign,easy

AUTHOR

Olivier Gérard, Dec 11 1999

EXTENSIONS

More terms from Harvey P. Dale, Mar 17 2012

STATUS

approved

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Last modified March 25 20:10 EDT 2019. Contains 321477 sequences. (Running on oeis4.)