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 A015418 Gaussian binomial coefficient [ n,11 ] for q=-11. 2
 1, -261535698060, 75241013495730790109766, -21451022788016578429723510655178620, 6120645196266098901030880937026524413510456541, -1746280663134874755499501790878094901668461626016352027280 (list; graph; refs; listen; history; text; internal format)
 OFFSET 11,2 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 = 11..90 FORMULA a(n) = Product_{i=1..11} ((-11)^(n-i+1)-1)/((-11)^i-1). - Vincenzo Librandi, Nov 06 2012 MATHEMATICA Table[QBinomial[n, 11, -11], {n, 11, 20}] (* Vincenzo Librandi, Nov 06 2012 *) PROG (Sage) [gaussian_binomial(n, 11, -11) for n in range(11, 16)] # Zerinvary Lajos, May 28 2009 (MAGMA) r:=11; q:=-11; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Nov 06 2012 CROSSREFS Sequence in context: A034618 A226858 A216904 * A271366 A257659 A018869 Adjacent sequences:  A015415 A015416 A015417 * A015419 A015420 A015421 KEYWORD sign,easy AUTHOR STATUS approved

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Last modified January 21 05:39 EST 2020. Contains 331104 sequences. (Running on oeis4.)