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Search: id:A101506
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| A101506 |
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Numbers n such that log(n!) is closer to an integer than is log(m!) for any m with 2<m<n. |
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+0
2
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| 3, 4, 10, 12, 25, 545, 589, 2075, 4883, 7999, 23074, 31672, 41958, 904492, 1356678, 2738806, 2774896, 53721092, 226271724, 3775956307, 15100042131, 66836971558
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(k)! is the closest factorial to exp(A101507(k)). The next term is > 10^11.
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EXAMPLE
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a(1)=3 because log(3!)=1.79176 is closer to 2 than is log(2!)=0.693147 to 1.
a(2)=4: log(4!)=3.178054, a(3)=10: log(10!)=15.1044126, a(4)=12: log(12!)=19.987214, a(5)=25: log(25!)=58.003605.
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CROSSREFS
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Cf. A101507, A046654 nearest integer to Sum_{k=1..n} log(k).
Sequence in context: A079353 A135116 A050187 this_sequence A092434 A031367 A073443
Adjacent sequences: A101503 A101504 A101505 this_sequence A101507 A101508 A101509
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KEYWORD
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more,nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Dec 20 2004
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