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A074881
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Triangle T(n,k) giving number of labeled cyclic subgroups 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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0
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1, 1, 1, 1, 3, 1, 1, 9, 4, 3, 1, 25, 10, 15, 6, 10, 1, 75, 40, 90, 36, 120, 1, 231, 175, 420, 126, 735, 120, 126, 105, 1, 763, 616, 2730, 336, 5320, 960, 1260, 1008, 840, 336, 1, 2619, 2884, 15498, 756, 41580, 4320, 11340, 6720, 6804, 7560, 4320, 3024, 2268
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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FORMULA
| T(n, k) = A057731(n, k)/A000010(k).
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EXAMPLE
| 1; 1,1; 1,3,1; 1,9,4,3; 1,25,10,15,6,10; ...
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CROSSREFS
| Row sums give A051625.
Sequence in context: A069605 A080510 A124496 * A142992 A145905 A171435
Adjacent sequences: A074878 A074879 A074880 * A074882 A074883 A074884
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KEYWORD
| nonn,tabl
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 30 2002
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