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 A015398 Gaussian binomial coefficient [ n,10 ] for q=-10. 13
 1, 9090909091, 91827364555463728191, 917356289265463645628926537191, 9174480340688613582018540679613398447191, 91743885968026547299515818524084563811678679347191, 917439777120042501293773510987809326410294679682025870347191 (list; graph; refs; listen; history; text; internal format)
 OFFSET 10,2 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 = 10..110 FORMULA a(n) = Product_{i=1..10} ((-10)^(n-i+1)-1)/((-10)^i-1) (by definition). - Vincenzo Librandi, Nov 04 2012 MATHEMATICA Table[QBinomial[n, 10, -10], {n, 10, 20}] (* Vincenzo Librandi, Nov 04 2012 *) PROG (Sage) [gaussian_binomial(n, 10, -10) for n in range(10, 16)] # Zerinvary Lajos, May 25 2009 (Magma) r:=10; q:=-10; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // Vincenzo Librandi, Nov 04 2012 CROSSREFS Cf. Gaussian binomial coefficients [n, 10] for q = -2..-13: A015386, A015388, A015390, A015391, A015392, A015393, A015394, A015397, A015399, A015401, A015402. - Vincenzo Librandi, Nov 04 2012 Sequence in context: A346257 A345723 A346364 * A034614 A140501 A216014 Adjacent sequences: A015395 A015396 A015397 * A015399 A015400 A015401 KEYWORD nonn,easy AUTHOR Olivier Gérard STATUS approved

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Last modified May 23 18:09 EDT 2024. Contains 372765 sequences. (Running on oeis4.)