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A117643
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a(n)=n*(a(n-1)-1) starting with a(0)=3.
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0
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3, 2, 2, 3, 8, 35, 204, 1421, 11360, 102231, 1022300, 11245289, 134943456, 1754264915, 24559708796, 368395631925, 5894330110784, 100203611883311, 1803665013899580, 34269635264092001, 685392705281840000
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OFFSET
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0,1
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COMMENTS
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Starting with a(0)=0 would give -A007526(n); starting with a(0)=1 would give -A038156(n). In general for this recurrence a(n) = ceiling[1 + n!*(a(0)-e)] for n>0; this is the first case with positive terms.
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LINKS
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Table of n, a(n) for n=0..20.
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FORMULA
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a(n) = ceiling[1 + n!*(3-e)] for n>0.
a(n)=3*n!-Sum{k=0..n}{k/k!}*n!, with n>=0 [From Paolo P. Lava, Oct 07 2008]
a(n) = n! -floor(e*n!) + 1,n>0 [From Gary Detlefs, Jun 06 2010]
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EXAMPLE
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a(5) = 5*(a(4)-1) = 5*(8-1) = 35.
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MATHEMATICA
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a=3; Table[a=a*n-n, {n, 1, 2*4!}] [From Vladimir Joseph Stephan Orlovsky, Apr 22 2010]
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CROSSREFS
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Sequence in context: A059942 A032450 A046460 * A164522 A141862 A106267
Adjacent sequences: A117640 A117641 A117642 * A117644 A117645 A117646
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KEYWORD
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easy,nonn
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AUTHOR
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Henry Bottomley, Apr 10 2006
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STATUS
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approved
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