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Search: id:A050211
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| A050211 |
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Triangle of number of permutations of {1, 2, ..., n} having exactly k cycles, each of which is of length >=r for r=3. |
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3
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| 2, 6, 24, 120, 40, 720, 420, 5040, 3948, 40320, 38304, 2240, 362880, 396576, 50400, 3628800, 4419360, 859320, 39916800, 53048160, 13665960, 246400, 479001600, 684478080, 216339552, 9609600, 6227020800, 9464307840, 3501834336
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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Generalizes Stirling numbers of the first kind
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 257.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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CROSSREFS
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Cf. A008275, A008306, A050212, A050213.
Sequence in context: A065422 A008336 A033643 this_sequence A066616 A083267 A130480
Adjacent sequences: A050208 A050209 A050210 this_sequence A050212 A050213 A050214
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KEYWORD
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nonn,tabl
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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