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A147752 Size of the largest subset of {1,2,3,...,n} whose geometric mean is an integer. 2
0, 0, 0, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 7, 7, 7 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

EXAMPLE

For n=4, (1*4)^(1/2)=2 and (1*2*4)^(1/3)=2. No other subset of {1,2,3,4} has integer geometric mean, so a(4)=3.

CROSSREFS

A147751, A147753

Sequence in context: A105159 A176873 A050499 * A114227 A187469 A112593

Adjacent sequences:  A147749 A147750 A147751 * A147753 A147754 A147755

KEYWORD

nonn

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Nov 11 2008

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Last modified February 14 13:08 EST 2012. Contains 205623 sequences.