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Search: id:A109878
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| A109878 |
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Triangle read by rows: see below. |
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+0
1
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| 1, 1, 1, 1, 2, 3, 2, 6, 12, 4, 6, 24, 60, 20, 10, 24, 120, 360, 120, 60, 36, 120, 720, 2520, 840, 420, 252, 168, 720, 5040, 20160, 6720, 3360, 2016, 1344, 960, 5040, 40320, 181440, 60480, 30240, 18144, 12096, 8640, 6480, 40320, 362880, 1814400, 604800
(list; table; graph; listen)
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OFFSET
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1,5
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EXAMPLE
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Consider the formula n! = 1*2*3...*(n-2) + 2*3*4...*(n-1)+ ...+ (n-1)*n*1*2...(n-4) + n*1*2*3*...*(n-3). e.g. 5! = 1*2*3 +2*3*4 +3*4*5 + 4*5*1 + 5*1*2.
Consider the following triangle of partition of n! based on above formula.
1
1 1
1 2 3
2 6 12 4
6 24 60 20 10
24 120 360 120 60 36
...
Sequence contains the triangle by rows.
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MATHEMATICA
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f[n_] := Times @@@ Sort[Partition[Range[n], n - 2, 1, {-1, -1}]]; Flatten[ Table[ f[n], {n, 2, 10}]] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 13 2005)
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CROSSREFS
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Sequence in context: A087454 A059446 A143806 this_sequence A104565 A144456 A051886
Adjacent sequences: A109875 A109876 A109877 this_sequence A109879 A109880 A109881
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KEYWORD
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nonn,tabl
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 10 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 18 2005
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