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Search: id:A089759
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| A089759 |
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Table T(n,k), 0<=k, 0<=n, read by antidiagonals, defined by T(n,k) = (k*n)! / (n!)^k. |
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| 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 6, 1, 1, 1, 24, 90, 20, 1, 1, 1, 120, 2520, 1680, 70, 1, 1, 1, 720, 113400, 369600, 34650, 252, 1, 1, 1, 5040, 7484400, 16816800, 63063000, 756756, 924, 1, 1, 1, 40320, 681080400, 137225088000, 305540235000
(list; graph; listen)
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OFFSET
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0,8
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EXAMPLE
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Row n 0 : 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, . . . see A000012
Row n 1 : 1, 1, 2, 6, 24, 120, 720, 5040, 40320 . . . see A000142
Row n 2 : 1, 1, 6, 90, 2520, 113400, 7484400, . . . see A000680
Row n 3 : 1, 1, 20, 1680, 369600, 168116800, . . . see A014606
Row n 4 : 1, 1, 70, 34650, 63063000, 305540235000, . . . see A014608
Row n 5 : 1, 1, 252, 756756, 11732745024, 623360743125120, . . . see A014609
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CROSSREFS
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Cf. A000680 A014606 A014608 A014609, A000984.
Adjacent sequences: A089756 A089757 A089758 this_sequence A089760 A089761 A089762
Sequence in context: A139329 A069777 A064992 this_sequence A088152 A049270 A025269
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KEYWORD
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easy,nonn
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AUTHOR
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DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 08 2004; revised Jun 08 2005
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