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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
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 range(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: A195282 A186804 A344632 * A250458 A038131 A081734
KEYWORD
sign,easy
AUTHOR
STATUS
approved

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Last modified March 28 16:12 EDT 2024. Contains 371254 sequences. (Running on oeis4.)