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A015347 Gaussian binomial coefficient [ n,7 ] for q = -8. 2
1, -1864135, 3971428035705, -8312452980450674055, 17436734410124346225937017, -36566366524181816928510601278855, 76685521221108550544352295253436844665, -160821117514369017882638960343040332226049415, 337266348340144487783661620118192764663158488484473 (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
MATHEMATICA
Table[QBinomial[n, 7, -8], {n, 7, 20}] (* Vincenzo Librandi, Nov 02 2012 *)
PROG
(Sage) [gaussian_binomial(n, 7, -8) for n in range(7, 14)] # Zerinvary Lajos, May 27 2009
(Magma) r:=7; q:=-8; [&*[(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: A202469 A346742 A115495 * A145276 A251008 A064820
KEYWORD
sign,easy
AUTHOR
Olivier Gérard, Dec 11 1999
STATUS
approved

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)