The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A015279 Gaussian binomial coefficient [ n,3 ] for q = -11. 2
 1, -1220, 1637362, -2177691460, 2898705467483, -3858153003126520, 5135204548028317764, -6834956902420811530200, 9097327679593690752247605, -12108543136400139930131294300, 16116470915170412804822871108406 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,2 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 = 3..200 Index entries for linear recurrences with constant coefficients, signature (-1220,148962,1623820,-1771561). FORMULA a(n) = product(((-11)^(n-i+1)-1)/((-11)^i-1), i=1..3) (by definition). - Vincenzo Librandi, Aug 02 2016 G.f.: x^3 / ( (x-1)*(11*x+1)*(121*x-1)*(1331*x+1) ). - R. J. Mathar, Aug 03 2016 MATHEMATICA Table[QBinomial[n, 3, -11], {n, 3, 20}] (* Vincenzo Librandi, Oct 28 2012 *) PROG (Sage) [gaussian_binomial(n, 3, -11) for n in range(3, 14)] # Zerinvary Lajos, May 27 2009 (Magma) r:=3; q:=-11; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 02 2016 CROSSREFS Sequence in context: A031781 A069400 A233660 * A179140 A091790 A053655 Adjacent sequences: A015276 A015277 A015278 * A015280 A015281 A015282 KEYWORD sign,easy AUTHOR Olivier Gérard, Dec 11 1999 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 13 09:13 EDT 2024. Contains 374274 sequences. (Running on oeis4.)