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 A015391 Gaussian binomial coefficient [ n,10 ] for q=-5. 14
 1, 8138021, 82784230211046, 802023560334345174046, 7844813030956382105126218421, 76584995059524711257676812461230921, 747948211058777330441088769852487456090296, 7304088256300765454892487244083619479306573590296 (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..150 FORMULA a(n) = Product_{i=1..10} ((-5)^(n-i+1)-1)/((-5)^i-1) (by definition). - Vincenzo Librandi, Nov 04 2012 MATHEMATICA Table[QBinomial[n, 10, -5], {n, 10, 20}] (* Vincenzo Librandi, Nov 04 2012 *) PROG (Sage) [gaussian_binomial(n, 10, -5) for n in range(10, 17)] # Zerinvary Lajos, May 25 2009 (Magma) r:=10; q:=-5; [&*[(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, A015392, A015393, A015394, A015397, A015398, A015399, A015401, A015402. Sequence in context: A263072 A353540 A183020 * A277580 A059693 A083629 Adjacent sequences: A015388 A015389 A015390 * A015392 A015393 A015394 KEYWORD nonn,easy AUTHOR Olivier Gérard STATUS approved

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Last modified October 3 10:55 EDT 2023. Contains 365861 sequences. (Running on oeis4.)