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A211369
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Array read by antidiagonals: T(m,n) = m*(m+n-1)! + Sum( n <= i <= m+n-2 ) i!
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2
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1, 2, 5, 6, 14, 21, 24, 54, 80, 105, 120, 264, 390, 512, 633, 720, 1560, 2304, 3030, 3752, 4473, 5040, 10800, 15960, 21024, 26070, 31112, 36153, 40320, 85680, 126720, 167160, 207504, 247830, 288152, 328473, 362880, 766080, 1134000
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OFFSET
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1,2
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COMMENTS
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Index numbers (compare A055089) of transpositions.
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LINKS
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FORMULA
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EXAMPLE
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T(3,2) = 3*4! + Sum( 2 <= i <= 3 ) i!
= 3*4! + 2! + 3!
= 3*24 + 2 + 6 = 80.
The array starts:
1, 2, 6, 24, 120,...
5, 14, 54, 264, 1560,...
21, 80, 390, 2304, 15960,...
105, 512, 3030, 21024,167160,...
633, 3752, 26070,207504,1860600,...
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MAPLE
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m*(m+n-1)!+add(i!, i=n..m+n-2) ;
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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