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A053291
Nonsingular n X n matrices over GF(4).
16
1, 3, 180, 181440, 2961100800, 775476766310400, 3251791214634074112000, 218210695042457748180566016000, 234298374547168764346587444978647040000, 4025200069765920285793155323595159699896401920000, 1106437515026051855463365435310419366987397763763798016000000
OFFSET
0,2
LINKS
FORMULA
a(n) = (4^n - 1)*(4^n - 4)*...*(4^n - 4^(n-1)).
a(n) = A053763(n)*A027637(n). - Bruno Berselli, Jan 30 2013
MATHEMATICA
Table[Product[4^n - 4^k, {k, 0, n-1}], {n, 0, 10}] (* Geoffrey Critzer, Jan 26 2013 *)
PROG
(Magma) [1] cat [&*[(4^n - 4^k): k in [0..n-1]]: n in [1..8]]; // Bruno Berselli, Jan 28 2013
(PARI) for(n=0, 10, print1(prod(k=0, n-1, 4^n - 4^k), ", ")) \\ G. C. Greubel, May 31 2018
KEYWORD
nonn,easy
AUTHOR
Stephen G Penrice, Mar 04 2000
EXTENSIONS
More terms from Vladeta Jovovic, Mar 16 2000
STATUS
approved