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A019576
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Place n distinguishable balls in n boxes (in n^n ways); let f(n,k) = number of ways that max in any box is k, for 1<=k<=n; sequence gives triangle of numbers f(n,k)/n.
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6
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1, 1, 1, 2, 6, 1, 6, 45, 12, 1, 24, 420, 160, 20, 1, 120, 4800, 2450, 375, 30, 1, 720, 65520, 43050, 7560, 756, 42, 1, 5040, 1045170, 858480, 167825, 19208, 1372, 56, 1, 40320, 19126800, 19208000, 4110120, 516096, 43008, 2304, 72, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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EXAMPLE
| 1; 1,1; 2,6,1; 6,45,12,1; ...
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CROSSREFS
| Sequence in context: A199953 A076039 A191100 * A141906 A136766 A199501
Adjacent sequences: A019573 A019574 A019575 * A019577 A019578 A019579
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KEYWORD
| nonn,tabl,easy,nice
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AUTHOR
| Lee Corbin (lcorbin(AT)tsoft.com)
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