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Search: id:A058001
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| A058001 |
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Number of 3 X 3 matrices with entries mod n, up to row and column permutation. |
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+0
5
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| 1, 36, 738, 8240, 57675, 289716, 1144836, 3780288, 10865205, 27969700, 65834406, 143887536, 295467263, 575308020, 1069960200, 1911933696, 3298486761, 5516122788, 8972008810, 14233690800
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OFFSET
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1,2
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COMMENT
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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
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a(n)=(1/3!^2)*(n^9 + 6*n^6 + 9*n^5 + 8*n^3 + 12*n^2).
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CROSSREFS
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Cf. A058002-A058004, A002724, A052271, A052272.
Sequence in context: A138832 A109405 A064541 this_sequence A004329 A089909 A049434
Adjacent sequences: A057998 A057999 A058000 this_sequence A058002 A058003 A058004
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 04 2000
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