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Search: id:A082894
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| A082894 |
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a(n)=nk, the closest number to 2^n which is divisible by n. |
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+0
7
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| 2, 4, 9, 16, 30, 66, 126, 256, 513, 1020, 2046, 4092, 8190, 16380, 32775, 65536, 131070, 262152, 524286, 1048580, 2097144, 4194300, 8388606, 16777224, 33554425, 67108860, 134217729, 268435468, 536870910, 1073741820, 2147483646
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n)=n.floor[(floor(n/2)+2^n)/n]
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EXAMPLE
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n=11: 2^11=2048 is between 2046=11.186 and 2035=11.185,
closer to a[11]=2046;
n=2^k powers of two are fixed points of this map.
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MATHEMATICA
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Table[n*Floor[(Floor[n/2]+2^n)/n], {n, 1, 100}]
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CROSSREFS
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Cf. A082893-A082900.
Sequence in context: A034446 A034452 A034449 this_sequence A091437 A131337 A062791
Adjacent sequences: A082891 A082892 A082893 this_sequence A082895 A082896 A082897
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 22 2003
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