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A051144 Non-square-free non-squares: each entry has a square factor but is not a perfect square itself. +0
2
8, 12, 18, 20, 24, 27, 28, 32, 40, 44, 45, 48, 50, 52, 54, 56, 60, 63, 68, 72, 75, 76, 80, 84, 88, 90, 92, 96, 98, 99, 104, 108, 112, 116, 117, 120, 124, 125, 126, 128, 132, 135, 136, 140, 147, 148, 150, 152, 153, 156, 160, 162, 164, 168, 171, 172, 175, 176, 180 (list; graph; listen)
OFFSET

0,1

COMMENT

Or, the numbers with a prime number of proper divisors and a nonprime number of perfect partitions. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Sep 26 2009]

EXAMPLE

65 is not included because it is square-free. 64 is not included because it is a perfect square. 63 is included because 63 = 3^2 * 7

CROSSREFS

Cf. A002033, A063806. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Sep 26 2009]

Sequence in context: A091523 A104201 A036327 this_sequence A067537 A046339 A145784

Adjacent sequences: A051141 A051142 A051143 this_sequence A051145 A051146 A051147

KEYWORD

easy,nonn

AUTHOR

Michael Minic (Rassilon6(AT)aol.com)

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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