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 A015382 Gaussian binomial coefficient [ n,9 ] for q=-10. 13
 1, -909090909, 918273645463728191, -917356289173636281073462809, 917448033977125729275307703398447191, -917438859588520669588272049420660231320652809, 917439777028298615325746963688293507886210115870347191 (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..120 FORMULA a(n) = Product_{i=1..9} ((-10)^(n-i+1)-1)/((-10)^i-1). - Vincenzo Librandi, Nov 04 2012 MATHEMATICA Table[QBinomial[n, 9, -10], {n, 9, 20}] (* Vincenzo Librandi, Nov 04 2012 *) PROG (MAGMA) r:=9; q:=-10; [&*[(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, A015383, A015384, A015385. - Vincenzo Librandi, Nov 04 2012 Sequence in context: A189229 A051470 A076135 * A115385 A186805 A122532 Adjacent sequences:  A015379 A015380 A015381 * A015383 A015384 A015385 KEYWORD sign,easy AUTHOR STATUS approved

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Last modified February 22 05:52 EST 2020. Contains 332116 sequences. (Running on oeis4.)