The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A015334 Gaussian binomial coefficient [ n,6 ] for q = -11. 2
 1, 1623931, 2900866919644, 5135204548028317764, 9097949506151746630368210, 16117472448301015835209097979510, 28553101725457044215054700034776694620 (list; graph; refs; listen; history; text; internal format)
 OFFSET 6,2 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 = 6..100 FORMULA G.f.: x^6/((1-x)*(1+11*x)*(1-121*x)*(1+1331*x)*(1-14641*x)*(1+161051*x)*(1-1771561*x)). - Vincenzo Librandi, Oct 30 2012 a(n) = (-1 +11^(6n-15) +198134223*11^(2n-9)*(1 -11^(2n-5)) +1330*11^(n-5)*(111 +111*11^(4n-10) -1637362*11^(2n-7))*(-1)^n) / 8011794142389510144000. - Bruno Berselli, Oct 30 2012 MATHEMATICA Table[QBinomial[n, 6, -11], {n, 6, 10}] (* Vincenzo Librandi, Oct 29 2012 *) PROG (Sage) [gaussian_binomial(n, 6, -11) for n in range(6, 13)] # Zerinvary Lajos, May 27 2009 (MAGMA) /* By definition: */ r:=6; q:=-11; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..12]]; // Bruno Berselli, Oct 30 2012 CROSSREFS Sequence in context: A103793 A064117 A173428 * A015377 A296450 A255042 Adjacent sequences:  A015331 A015332 A015333 * A015335 A015336 A015337 KEYWORD nonn,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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 23 19:45 EST 2020. Contains 331175 sequences. (Running on oeis4.)