%I A058003
%S A058003 1,5624,64796982,79846389608,20834113243925,1979525296377132,
%T A058003 93242242505023122,2625154125717590496,49871029909245781491,
%U A058003 694584034909225304800,7525039263469551291908,66252712846754819753160
%N A058003 Number of 5 X 5 matrices with entries mod n, up to row and column permutation.
%C A058003 Number of k X l matrices with entries mod n, up to row and column permutation 
               is Z(S_k X S_l; n,n,...) where Z(S_k X S_l; x_1,x_2,...) is cycle 
               index of Cartesian product of symmetric groups S_k and S_l of degree 
               k and l, respectively.
%F A058003 a(n)=(1/5!^2)*(n^25 + 20*n^20 + 100*n^17 + 70*n^15 + 300*n^14 + 225*n^13 
               + 400*n^12 + 400*n^11 + 100*n^10 + 1600*n^9 + 2300*n^8 + 1300*n^7 
               + 1200*n^6 + 1824*n^5 + 480*n^4 + 1680*n^3 + 2400*n^2).
%Y A058003 Cf. A039623, A058001, A058002, A058004, A002724, A052271, A052272.
%Y A058003 Sequence in context: A071813 A074242 A032737 this_sequence A014799 A031663 
               A031573
%Y A058003 Adjacent sequences: A058000 A058001 A058002 this_sequence A058004 A058005 
               A058006
%K A058003 easy,nonn
%O A058003 1,2
%A A058003 Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 04 2000
%E A058003 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Nov 08 2000