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A082573
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a(1)=1, a(n)=ceiling(n*(a(n-1)+3/a(n-1))).
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0
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1, 8, 26, 105, 526, 3157, 22100, 176801, 1591210, 15912101, 175033112, 2100397345, 27305165486, 382272316805, 5734084752076, 91745356033217, 1559671052564690, 28074078946164421, 533407499977124000, 10668149999542480001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| More generally if m is an integer >=3 and a(1)=1, a(n)=ceiling(n*(a(n-1)+m/a(n-1))) there is a closed formula for a(n) namely : a(n)=floor(n!*(e+m-4/3))
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FORMULA
| a(n)=floor(n!*(exp(1)+5/3))
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CROSSREFS
| Sequence in context: A194021 A173365 A140788 * A112645 A194997 A089064
Adjacent sequences: A082570 A082571 A082572 * A082574 A082575 A082576
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), May 06 2003
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