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Search: id:A144773
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| A144773 |
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10-fold factorials : product [k=0..n-1](10k+1). |
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1
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| 1, 1, 11, 231, 7161, 293601, 14973651, 913392711, 64850882481, 5252921480961, 478015854767451, 48279601331512551, 5359035747797893161, 648443325483545072481, 84946075638344404495011
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) =Sum_{k=0..n}(-10)^(n-k)*A048994(n,k)=Sum_{k=0..n}10^(n-k)*A132393(n,k). E.g.f. (1-10*x)^(-1/10). a(n) =A045757(n), n>0 .
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MAPLE
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restart: G(x):=(1-10*x)^(-1/10): f[0]:=G(x): for n from 1 to 29 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=0..14); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]
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CROSSREFS
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Cf. k-fold factorials : A000142, A001147, A007559, A007696, A008548, A008542, A045754, A045755, A144772
Sequence in context: A068122 A015287 A045757 this_sequence A061115 A098321 A033864
Adjacent sequences: A144770 A144771 A144772 this_sequence A144774 A144775 A144776
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 21 2008
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