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A082894 a(n)=nk, the closest number to 2^n which is divisible by n. 6
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; refs; listen; history; internal format)
OFFSET

1,1

FORMULA

a(n)=n.floor[(floor(n/2)+2^n)/n]

EXAMPLE

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.

MATHEMATICA

Table[n*Floor[(Floor[n/2]+2^n)/n], {n, 1, 100}]

CROSSREFS

Cf. A082893-A082900.

Sequence in context: A174511 A034452 A034449 * A091437 A131337 A062791

Adjacent sequences:  A082891 A082892 A082893 * A082895 A082896 A082897

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Apr 22 2003

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Last modified February 14 02:39 EST 2012. Contains 205567 sequences.