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Search: id:A082037
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| A082037 |
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A square array of linear-factorial numbers, read by antidiagonals. |
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+0
5
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| 1, 1, 1, 1, 2, 2, 1, 3, 6, 6, 1, 4, 10, 24, 24, 1, 5, 14, 42, 120, 120, 1, 6, 18, 60, 216, 720, 720, 1, 7, 22, 78, 312, 1320, 5040, 5040, 1, 8, 26, 96, 408, 1920, 9360, 40320, 40320, 1, 9, 30, 114, 504, 2520, 13680, 75600, 362880, 362880
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Rows include A000142(n), A000142(n+1), A007680, A082033, A082034. Columns include 2!*A005408(n),3!*A016777(n),4!*A016813(n),5!*A016861. Main diagonal is A082042.
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FORMULA
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Square array defined by T(n, k)=(kn+1)n!
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EXAMPLE
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Rows begin
1 1 2 6 ....
1 2 6 24 ...
1 3 10 42 ...
1 4 14 60 ...
1 5 18 78 ...
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CROSSREFS
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Cf. A077038.
Sequence in context: A056860 A158825 A107111 this_sequence A163649 A110858 A008279
Adjacent sequences: A082034 A082035 A082036 this_sequence A082038 A082039 A082040
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 02 2003
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