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Search: id:A084787
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| A084787 |
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Least integer such that e^n/(ceil(e^n) + a(n)) monotonically decreases. |
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+0
1
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| 1, 3, 9, 26, 73, 199, 542, 1475, 4011, 10903, 29640, 80571, 219017, 595350, 1618331, 4399082, 11957946, 32505069, 88357939, 240181783, 652881776, 1774716669, 4824180073, 13113481032, 35646137200, 96896247006, 263391307484
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Limit e^n/(ceil(e^n) + a(n)) -> 0.42631385811... = 1/(1+c), where a(n) ~ c*e^n, c=1.34568963915...
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FORMULA
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a(0)=1, a(n+1) = ceil( e*a(n) + e*ceil(e^n) - ceil(e^(n+1)) ), e=2.71828...
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CROSSREFS
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Cf. A084798.
Sequence in context: A054963 A118046 A057153 this_sequence A121190 A054447 A061667
Adjacent sequences: A084784 A084785 A084786 this_sequence A084788 A084789 A084790
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 14 2003
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