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A058002
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Number of 4 X 4 matrices with entries mod n, up to row and column permutation.
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2
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1, 317, 90492, 7880456, 270656150, 4947097821, 58002778967, 490172624992, 3223155968811, 17382581357725, 79840867013666, 321169288917192, 1155731257886192, 3782368364610941, 11406226119319725
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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.
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FORMULA
| a(n)=(1/4!^2)*(n^16 + 12*n^12 + 36*n^10 + 67*n^8 + 160*n^6 + 204*n^4 + 96*n^2).
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CROSSREFS
| Cf. A058001, A058003, A058004, A002724, A052271, A052272.
Sequence in context: A142003 A064396 A142130 * A045272 A075153 A204835
Adjacent sequences: A057999 A058000 A058001 * A058003 A058004 A058005
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 04 2000
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