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A177428
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Triangle T(n,m)= A141686(n,m)*(m-1)! read by rows, n>=1, 1<=m<=n.
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1
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1, 1, 1, 1, 8, 2, 1, 33, 66, 6, 1, 104, 792, 624, 24, 1, 285, 6040, 18120, 6840, 120, 1, 720, 35730, 289920, 428760, 86400, 720, 1, 1729, 180306, 3279990, 13119960, 10818360, 1244880, 5040, 1, 4016, 818048, 29646624, 262399200, 592932480, 294497280
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OFFSET
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1,5
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COMMENTS
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Row sums are 1, 2, 11, 106, 1545, 31406, 842251, 28650266, 1200578609, 60585995422,
3615590440731,....
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LINKS
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FORMULA
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T(n,m)= A008292(n,m)*(n-1)!/(n-m)!.
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EXAMPLE
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1;
1, 1;
1, 8, 2;
1, 33, 66, 6;
1, 104, 792, 624, 24;
1, 285, 6040, 18120, 6840, 120;
1, 720, 35730, 289920, 428760, 86400, 720;
1, 1729, 180306, 3279990, 13119960, 10818360, 1244880, 5040;
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MAPLE
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MATHEMATICA
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<< DiscreteMath`Combinatorica`
t[n_, m_] = Eulerian[n + 1, m]*n!/(n - m)!;
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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