|
%I #27 Sep 13 2023 11:11:27
%S 1,3,180,181440,2961100800,775476766310400,3251791214634074112000,
%T 218210695042457748180566016000,
%U 234298374547168764346587444978647040000,4025200069765920285793155323595159699896401920000,1106437515026051855463365435310419366987397763763798016000000
%N Nonsingular n X n matrices over GF(4).
%H Vincenzo Librandi, <a href="/A053291/b053291.txt">Table of n, a(n) for n = 0..40</a>
%F a(n) = (4^n - 1)*(4^n - 4)*...*(4^n - 4^(n-1)).
%F a(n) = A053763(n)*A027637(n). - _Bruno Berselli_, Jan 30 2013
%t Table[Product[4^n - 4^k, {k,0,n-1}], {n,0,10}] (* _Geoffrey Critzer_, Jan 26 2013 *)
%o (Magma) [1] cat [&*[(4^n - 4^k): k in [0..n-1]]: n in [1..8]]; // _Bruno Berselli_, Jan 28 2013
%o (PARI) for(n=0,10, print1(prod(k=0,n-1, 4^n - 4^k), ", ")) \\ _G. C. Greubel_, May 31 2018
%Y Cf. A002884, A003788, A027637, A053763, A053290, A053292, A053293.
%K nonn,easy
%O 0,2
%A _Stephen G Penrice_, Mar 04 2000
%E More terms from _Vladeta Jovovic_, Mar 16 2000
|
