A060720 Singular n X n matrices over GF(5).

1, 145, 465125, 36523890625, 71408263876953125, 3487439806366851806640625, 4257301552309879646778106689453125, 129923587901397533566226400434970855712890625

Offset: 1

Author

Avi Peretz (njk(AT)netvision.net.il), Apr 21 2001

Keywords

• nonn

Links

• Harry J. Smith, Table of n, a(n) for n = 1..37

Crossrefs

Cf. A053292.

Programs

Maple

for n from 1 to 15 do printf(`%d,`, 5^(n^2) - product(5^n-5^j, j=0..n-1)) od:

PARI

a(n)={5^(n^2) - prod(j=0, n - 1, 5^n - 5^j)} \\ Harry J. Smith, Jul 10 2009

Formula

For n >= 1, a(n) = 5^(n^2) - A053292(n) = 5^(n^2) - (5^n - 1)*(5^n - 5)*...*(5^n - 5^(n-1)).

Extensions

More terms from James Sellers, Apr 24 2001