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A052496
Nonsingular n X n matrices over GF(8).
7
1, 7, 3528, 115379712, 241909719367680, 32467582052437076213760, 278893342293098904613804037898240, 153323163270070838469523866093442017326530560
OFFSET
0,2
LINKS
FORMULA
a(n) = (8^n - 1)*(8^n - 8)*...*(8^n - 8^(n-1)).
a(n) = A109966(n)*A027876(n). - Bruno Berselli, Jan 30 2013
MATHEMATICA
Table[Product[(8^n - 8^j), {j, 0, n-1}], {n, 0, 10}] (* G. C. Greubel, May 14 2019 *)
PROG
(Magma) [1] cat [&*[(8^n-8^k): k in [0..n-1]]: n in [1..10]]; // Bruno Berselli, Jan 30 2013
(PARI) {a(n) = prod(j=0, n-1, 8^n - 8^j)}; \\ G. C. Greubel, May 14 2019
(Sage) [product(8^n - 8^j for j in (0..n-1)) for n in (0..10)] # G. C. Greubel, May 14 2019
KEYWORD
easy,nonn
AUTHOR
Vladeta Jovovic, Mar 16 2000
STATUS
approved