A022252 - OEIS

%I #14 Sep 08 2022 08:44:46

%S 1,78536544841,5482656778286418474121,

%T 377502614721293061473789582165641,

%U 25948117139655026088415620969665388037494409,1783195450928011476668648470344552094424349050302879369,122540725761559997805240746641257692029742922745214204200122046089

%N Gaussian binomial coefficients [ n,12 ] 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="/A022252/b022252.txt">Table of n, a(n) for n = 12..100</a>

%F a(n) = Product_{i=1..12} (8^(n-i+1)-1)/(8^i-1), by definition. - _Vincenzo Librandi_, Aug 04 2016

%t Table[QBinomial[n, 12, 8], {n, 12, 20}] (* _Vincenzo Librandi_, Aug 04 2016 *)

%o (Sage) [gaussian_binomial(n,12,8) for n in range(12,19)] # _Zerinvary Lajos_, May 28 2009

%o (Magma) r:=12; 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 12,2

%A _N. J. A. Sloane_.

%E Offset changed by _Vincenzo Librandi_, Aug 04 2016