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A091062 Number of n X n matrices over symbol set {1,2,3,4,5} equivalent under any permutation of row, columns or the symbol set. 8

%I

%S 1,1,9,649,2283123,173636442196,234378355489344704,

%T 5830719097591168695360621,2779203181367458204944451774688032,

%U 26174539685600184383643311230836752183522328,4992259182572292655057303928366260085844535079288641049

%N Number of n X n matrices over symbol set {1,2,3,4,5} equivalent under any permutation of row, columns or the symbol set.

%H C. G. Bower, <a href="/A091057/a091057.html">Explanation of A091057-A091062</a>

%F a(n) = sum_{1*s_1+2*s_2+...=n, 1*t_1+2*t_2+...=n, 1*u_1+2*u_2+...=5} (fix A[s_1, s_2, ...;t_1, t_2, ...;u_1, u_2, ...]/(1^s_1*s_1!*2^s_2*s_2!* ... *1^t_1*t_1!*2^t_2*t_2!* ... *1^u_1*u_1!*2^u_2*u_2!*...)) where fix A[...] = prod_{i, j>=1} ( (sum_{d|lcm(i, j)} (d*u_d))^(gcd(i, j)*s_i*t_j)).

%Y Cf. A091057-A091061.

%Y Column k=5 of A242095.

%K nonn

%O 0,3

%A _Christian G. Bower_, Dec 17 2003

%E a(10) from _Alois P. Heinz_, Aug 14 2014

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)