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Search: id:A057731
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| A057731 |
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Table T(n,k) giving number of elements of order k in symmetric group S_n, n >= 1, 1<=k<=g(n), where g(n) = A000793(n) is Landau's function.. |
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4
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| 1, 1, 1, 1, 3, 2, 1, 9, 8, 6, 1, 25, 20, 30, 24, 20, 1, 75, 80, 180, 144, 240, 1, 231, 350, 840, 504, 1470, 720, 0, 0, 504, 0, 420, 1, 763, 1232, 5460, 1344, 10640, 5760, 5040, 0, 4032, 0, 3360, 0, 0, 2688, 1, 2619, 5768, 30996, 3024, 83160, 25920, 45360, 40320, 27216, 0, 30240, 0, 25920, 24192, 0, 0, 0, 0, 18144
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OFFSET
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1,5
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EXAMPLE
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1; 1,1; 1,3,2; 1,9,8,6; 1,25,20,30,24,20; ...
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PROGRAM
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(MAGMA) {* Order(g) : g in Sym(6) *};
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CROSSREFS
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Cf. A054522 (for cyclic group), A057740 (alternating group), A057741 (dihedral group).
Adjacent sequences: A057728 A057729 A057730 this_sequence A057732 A057733 A057734
Sequence in context: A002350 A109267 A108073 this_sequence A126074 A108916 A119421
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KEYWORD
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nonn,tabf,easy,nice
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AUTHOR
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Roger CUCULIERE (cuculier(AT)imaginet.fr), Oct 29 2000
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EXTENSIONS
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More terms from njas, Nov 01 2000
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