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Search: id:A082573
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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
1
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| 1, 8, 26, 105, 526, 3157, 22100, 176801, 1591210, 15912101, 175033112, 2100397345, 27305165486, 382272316805, 5734084752076, 91745356033217, 1559671052564690, 28074078946164421, 533407499977124000, 10668149999542480001
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OFFSET
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0,2
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COMMENT
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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
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a(n)=floor(n!*(exp(1)+5/3))
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CROSSREFS
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Sequence in context: A051669 A027004 A140788 this_sequence A112645 A089064 A000810
Adjacent sequences: A082570 A082571 A082572 this_sequence A082574 A082575 A082576
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 06 2003
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