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A058004 Number of 6 X 6 matrices with entries mod n, up to row and column permutation. 6

%I

%S 1,251610,302752867740,9178323524804624,28125393244553141210,

%T 19909522361922032493690,5116530046996205504668323,

%U 626072069382507442113224128,43460016875695276108491159279

%N Number of 6 X 6 matrices with entries mod n, up to row and column permutation.

%C 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.

%H Alois P. Heinz, <a href="/A058004/b058004.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n)=(1/6!^2)*(n^36 + 30*n^30 + 225*n^26 + 170*n^24 + 1350*n^22 + 3225*n^20 + 4075*n^18 + 9900*n^16 + 28500*n^14 + 56048*n^12 + 61020*n^10 + 77616*n^8 + 153840*n^6 + 87840*n^4 + 34560*n^2).

%Y Cf. A039623, A058001-A058003, A002724, A052271, A052272.

%Y Row n=6 of A246106.

%K easy,nonn

%O 1,2

%A _Vladeta Jovovic_, Nov 04 2000

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Last modified August 25 05:06 EDT 2019. Contains 326318 sequences. (Running on oeis4.)