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 A015365 Gaussian binomial coefficient [ n,8 ] for q=-9. 13
 1, 38742049, 1688564650965445, 72587599955185580267365, 3125134483161392104770081009295, 134524513999723596604019036560420619887, 5790850118312580284352508983888376537699322083 (list; graph; refs; listen; history; text; internal format)
 OFFSET 8,2 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 = 8..140 FORMULA a(n) = Product_{i=1..8} ((-9)^(n-i+1)-1)/((-9)^i-1). - M. F. Hasler, Nov 03 2012 MATHEMATICA Table[QBinomial[n, 8, -9], {n, 8, 15}] (* Vincenzo Librandi, Nov 03 2012 *) PROG (Sage) [gaussian_binomial(n, 8, -9) for n in range(8, 14)] # Zerinvary Lajos, May 25 2009 (Magma) r:=8; q:=-9; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..18]]; // Vincenzo Librandi, Nov 03 2012 (PARI) A015365(n, r=8, q=-9)=prod(i=1, r, (q^(n-i+1)-1)/(q^i-1)) \\ M. F. Hasler, Nov 03 2012 CROSSREFS Cf. Gaussian binomial coefficients [n,8] for q=-2..-13: A015356, A015357, A015359, A015360, A015361, A015363, A015364, A015367, A015368, A015369, A015370. - M. F. Hasler, Nov 03 2012 Sequence in context: A246232 A248710 A342350 * A272599 A105004 A216006 Adjacent sequences: A015362 A015363 A015364 * A015366 A015367 A015368 KEYWORD nonn,easy AUTHOR Olivier Gérard STATUS approved

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Last modified June 21 01:13 EDT 2024. Contains 373535 sequences. (Running on oeis4.)