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Search: id:A060540
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| A060540 |
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Square array read by antidiagonals of number of ways of dividing nk labeled items into n unlabeled boxes with k items in each box. |
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+0
5
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| 1, 1, 1, 1, 3, 1, 1, 10, 15, 1, 1, 35, 280, 105, 1, 1, 126, 5775, 15400, 945, 1, 1, 462, 126126, 2627625, 1401400, 10395, 1, 1, 1716, 2858856, 488864376, 2546168625, 190590400, 135135, 1, 1, 6435, 66512160, 96197645544, 5194672859376
(list; table; graph; listen)
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OFFSET
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1,5
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FORMULA
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T(n, k) =(nk)!/(k!^n*n!) =T(n-1, k)*A060543(n, k) =A060538(n, k)/A000142(k).
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CROSSREFS
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Rows include A000012, A001700, A060542. Rows include A000012, A001147, A025035, A025036, etc. Main diagonal is A057599.
Sequence in context: A045912 A106268 A060543 this_sequence A087647 A100265 A111473
Adjacent sequences: A060537 A060538 A060539 this_sequence A060541 A060542 A060543
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 02 2001
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