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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 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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FORMULA
| 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 (paoloplava(AT)gmail.com), Oct 07 2008]
a(n) = n! -floor(e*n!) + 1,n>0 [From Gary Detlefs (gdetlefs(AT)aol.com), Jun 06 2010]
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EXAMPLE
| a(5) = 5*(a(4)-1) = 5*(8-1) = 35.
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MATHEMATICA
| a=3; Table[a=a*n-n, {n, 1, 2*4!}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 22 2010]
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CROSSREFS
| Sequence in context: A059942 A032450 A046460 * A164522 A141862 A106267
Adjacent sequences: A117640 A117641 A117642 * A117644 A117645 A117646
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KEYWORD
| easy,nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Apr 10 2006
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