|
%I #14 Sep 08 2022 08:44:46
%S 1,299593,79783113865,20955593338439305,5494724540479236953737,
%T 1440453028909548546592331401,377607559263493603746446715115145,
%U 98987603216356624971042374274625033865,25949007804224083420097621839124559742097033
%N Gaussian binomial coefficients [ n,6 ] 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="/A022246/b022246.txt">Table of n, a(n) for n = 6..190</a>
%F a(n) = Product_{i=1..6} (8^(n-i+1)-1)/(8^i-1), by definition. - _Vincenzo Librandi_, Aug 05 2016
%t Table[QBinomial[n, 6, 8], {n, 6, 20}] (* _Vincenzo Librandi_, Aug 05 2016 *)
%o (Sage) [gaussian_binomial(n,6,8) for n in range(6,15)] # _Zerinvary Lajos_, May 27 2009
%o (Magma) r:=6; q:=8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Aug 05 2016
%K nonn
%O 6,2
%A _N. J. A. Sloane_.
%E Offset changed by _Vincenzo Librandi_, Aug 05 2016
|
