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%I #22 May 02 2022 10:30:43
%S 1,5,175,57675,270656150,20834113243925,28125393244553141210,
%T 699686291478538604891895515,333504381764054807093590006199733915,
%U 3140944762272022074073055438393255181867210010,599071101908675118606355537962231556550216893297767505350
%N Number of n X n matrices over GF(5) under row and column permutations.
%H Alois P. Heinz, <a href="/A052272/b052272.txt">Table of n, a(n) for n = 0..26</a>
%H <a href="/index/Mat#inequiv">Index to number of inequivalent matrices modulo permutation of rows and columns</a>
%F a(n) = sum_{1*s_1+2*s_2+...=n, 1*t_1+2*t_2+...=n} (fixA[s_1, s_2, ...;t_1, t_2, ...]/(1^s_1*s_1!*2^s_2*s_2!*...*1^t_1*t_1!*2^t_2*t_2!*...)) where fixA[...] = 5^sum_{i, j>=1} (gcd(i, j)*s_i*t_j). - _Christian G. Bower_, Dec 18 2003
%Y Cf. A002724, A052269, A052271, A091062.
%Y Column k=5 of A246106.
%K nonn
%O 0,2
%A _Vladeta Jovovic_, Feb 05 2000
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