A060705 Singular n X n matrices over GF(3).

1, 33, 8451, 18785601, 371722135203, 65965023738046161, 105230885027939446251843, 1510241390481066772867454516481, 195045439041853604357302110432234667203

Offset: 1

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 20 2001

Keywords

• nonn

Links

• Harry J. Smith, Table of n, a(n) for n = 1..45

Crossrefs

Cf. A053290.

Programs

Maple

for n from 1 to 20 do printf(`%d,`,3^(n^2) - product(3^n - 3^j, j=0..n-1)) od:

PARI

a(n)={3^(n^2) - prod(j=0, n-1, 3^n - 3^j)} \\ Harry J. Smith, Jul 09 2009

Formula

For n >= 1, a(n) = 3^(n^2) - A053290(n) = 3^(n^2) - (3^n - 1)*(3^n - 3)*...*(3^n - 3^(n-1)).

Extensions

More terms from James Sellers, Apr 23 2001