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Search: id:A058004
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| A058004 |
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Number of 6 X 6 matrices with entries mod n, up to row and column permutation. |
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+0
5
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| 1, 251610, 302752867740, 9178323524804624, 28125393244553141210, 19909522361922032493690, 5116530046996205504668323, 626072069382507442113224128, 43460016875695276108491159279
(list; graph; listen)
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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)=(1/6!^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).
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CROSSREFS
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Cf. A039623, A058001-A058003, A002724, A052271, A052272.
Adjacent sequences: A058001 A058002 A058003 this_sequence A058005 A058006 A058007
Sequence in context: A017525 A018236 A043655 this_sequence A113567 A083628 A140967
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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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