A220791 Number of nonsingular n X n matrices over GF(13).

1, 12, 26208, 9726417792, 610296923230525440, 6471875909051511775903457280, 11598637276362103019770723830073032376320, 3512938445418644176053176560741858449740612202579886080

Offset: 0

Author

Vincenzo Librandi, Jan 29 2013

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..30
• J. Overbey, W. Traves and J. Wojdylo, On the Keyspace of the Hill Cipher.

Crossrefs

Cf. A002884, A003787, A003789, A003790, A053290-A053293.

Programs

Magma

[1] cat [&*[(13^n - 13^k): k in [0..n-1]]: n in [1..8]];

Mathematica

Table[Product[13^n - 13^k, {k, 0, n-1}], {n, 0, 8}]