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A053625
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Product of 6 consecutive integers.
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6
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0, 0, 0, 0, 0, 0, 720, 5040, 20160, 60480, 151200, 332640, 665280, 1235520, 2162160, 3603600, 5765760, 8910720, 13366080, 19535040, 27907200, 39070080, 53721360, 72681840, 96909120, 127512000, 165765600, 213127200, 271252800, 342014400
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,7
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COMMENTS
| a(n+7)=A000579(n)*720. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2007
For n>6: a(n+1) = A173333(n,n-6). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 19 2010]
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FORMULA
| a(n)=n*(n-1)*(n-2)*(n-3)*(n-4)*(n-5)=n!/(n-6)!=A052787(n)*(n-6)=a(n-1)*n/(n-6). E.g.f. x^6*exp(x)
a(n)=numbperm (n,6), n>=0. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2007
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MAPLE
| seq(numbperm (n, 6), n=0..31); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2007
restart: G(x):=x^6*exp(x): f[0]:=G(x): for n from 1 to 31 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=0..31); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 05 2009]
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CROSSREFS
| A002378, A007531, A045619, A052762, A052787.
Sequence in context: A167563 A202095 A187290 * A052793 A179728 A052799
Adjacent sequences: A053622 A053623 A053624 * A053626 A053627 A053628
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KEYWORD
| easy,nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Mar 20 2000
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