cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A060720 #12 Jul 02 2025 16:02:01
%S A060720 1,145,465125,36523890625,71408263876953125,3487439806366851806640625,
%T A060720 4257301552309879646778106689453125,
%U A060720 129923587901397533566226400434970855712890625
%N A060720 Singular n X n matrices over GF(5).
%H A060720 Harry J. Smith, <a href="/A060720/b060720.txt">Table of n, a(n) for n = 1..37</a>
%F A060720 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 A060720 for n from 1 to 15 do printf(`%d,`, 5^(n^2) - product(5^n-5^j, j=0..n-1)) od:
%o A060720 (PARI) a(n)={5^(n^2) - prod(j=0, n - 1, 5^n - 5^j)} \\ _Harry J. Smith_, Jul 10 2009
%Y A060720 Cf. A053292.
%K A060720 nonn
%O A060720 1,2
%A A060720 Avi Peretz (njk(AT)netvision.net.il), Apr 21 2001
%E A060720 More terms from _James Sellers_, Apr 24 2001