%I #14 Sep 08 2022 08:44:46
%S 1,9817068105,85666512159498155145,737309794366817196670904616585,
%T 6334989535956426629319904274460839466633,
%U 54418806485048320298126020637699477339315297310345,467455771483523568551302853258472608792870981791648312186505
%N Gaussian binomial coefficients [ n,11 ] for q = 8.
%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 698.
%H Vincenzo Librandi, <a href="/A022251/b022251.txt">Table of n, a(n) for n = 11..100</a>
%F a(n) = Product_{i=1..11} (8^(n-i+1)-1)/(8^i-1), by definition. - _Vincenzo Librandi_, Aug 04 2016
%t Table[QBinomial[n, 11, 8], {n, 11, 20}] (* _Vincenzo Librandi_, Aug 04 2016 *)
%o (Sage) [gaussian_binomial(n,11,8) for n in range(11,18)] # _Zerinvary Lajos_, May 28 2009
%o (Magma) r:=11; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Aug 04 2016
%K nonn
%O 11,2
%A _N. J. A. Sloane_.
%E Offset changed by _Vincenzo Librandi_, Aug 04 2016
|