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A015380 Gaussian binomial coefficient [ n,9 ] for q=-8. 13
1, -119304647, 16266970069380217, -2179059787976052939572615, 292539874786707389459461268654713, -39262839136506665155883080645146897495431, 5269789166381879647128952074697436662720144919161 (list; graph; refs; listen; history; text; internal format)
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..130

FORMULA

a(n) = Product_{i=1..9} ((-8)^(n-i+1)-1)/((-8)^i-1). - Vincenzo Librandi, Nov 04 2012

MATHEMATICA

Table[QBinomial[n, 9, -8], {n, 9, 20}] (* Vincenzo Librandi, Nov 04 2012 *)

PROG

(Sage) [gaussian_binomial(n, 9, -8) for n in xrange(9, 15)] # Zerinvary Lajos, May 25 2009

(MAGMA) r:=9; q:=-8; [&*[(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, A015381, A015382, A015383, A015384, A015385. - Vincenzo Librandi, Nov 04 2012

Sequence in context: A157770 A195282 A186804 * A250458 A038131 A081734

Adjacent sequences:  A015377 A015378 A015379 * A015381 A015382 A015383

KEYWORD

sign,easy

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified March 18 13:47 EDT 2019. Contains 321289 sequences. (Running on oeis4.)