A052496 Nonsingular n X n matrices over GF(8).

1, 7, 3528, 115379712, 241909719367680, 32467582052437076213760, 278893342293098904613804037898240, 153323163270070838469523866093442017326530560

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..30

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

Crossrefs

Cf. A027876, A109966.

Cf. A002884, A003791, A053290, A053291, A053292, A053293, A052497, A052498.

Sequence in context: A236368 A350018 A055307 * A216935 A024100 A069644

Adjacent sequences: A052493 A052494 A052495 * A052497 A052498 A052499

Keyword

easy,nonn

Author

Vladeta Jovovic, Mar 16 2000

Status

approved