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Search: id:A009963
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| A009963 |
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Triangle of numbers n!(n-1)!...(n-k+1)!/1!2!...k!. |
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10
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| 1, 1, 1, 1, 2, 1, 1, 6, 6, 1, 1, 24, 72, 24, 1, 1, 120, 1440, 1440, 120, 1, 1, 720, 43200, 172800, 43200, 720, 1, 1, 5040, 1814400, 36288000, 36288000, 1814400, 5040, 1, 1, 40320, 101606400, 12192768000
(list; table; graph; listen)
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OFFSET
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0,5
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FORMULA
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T(n, k) =T(n-1, k-1)*A008279(n, n-k) =A000178(n)/(A000178(k)*A000178(n-k)) i.e. a "supercombination" of "superfactorials". - Henry Bottomley (se16(AT)btinternet.com), May 22 2002
Equals ConvOffsStoT transform of the factorials starting (1, 2, 6, 24,...); e.g. ConvOffs transform of (1, 2, 6, 24) = (1, 24, 72, 24, 1). Note that A090441 = ConvOffsStoT transform of the factorials, A000142. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 21 2008
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EXAMPLE
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Rows start 1; 1,1; 1,2,1; 1,6,6,1; 1,24,72,24,1; 1,120,1440,1440,120,1; etc.
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CROSSREFS
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Cf. A000178, A007318, A060854.
Central column is A079478. Columns include A010796, A010797, A010798, A010799, A010800.
Cf. A090441.
Sequence in context: A135899 A047920 A075798 this_sequence A008300 A137376 A039761
Adjacent sequences: A009960 A009961 A009962 this_sequence A009964 A009965 A009966
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KEYWORD
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nonn,tabl
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AUTHOR
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njas
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