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A060720 Singular n X n matrices over GF(5). 2

%I

%S 1,145,465125,36523890625,71408263876953125,3487439806366851806640625,

%T 4257301552309879646778106689453125,

%U 129923587901397533566226400434970855712890625

%N Singular n X n matrices over GF(5).

%H Harry J. Smith, <a href="/A060720/b060720.txt">Table of n, a(n) for n = 1..37</a>

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

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

%o (PARI) a(n)={5^(n^2) - prod(j=0, n - 1, 5^n - 5^j)} \\ _Harry J. Smith_, Jul 10 2009

%Y Cf. A053292.

%K nonn

%O 1,2

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

%E More terms from _James A. Sellers_, Apr 24 2001

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Last modified November 30 20:17 EST 2021. Contains 349425 sequences. (Running on oeis4.)