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Search: id:A072588
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A072588 Numbers having at least one prime factor with an odd and one with an even exponent. +0
2
12, 18, 20, 28, 44, 45, 48, 50, 52, 60, 63, 68, 72, 75, 76, 80, 84, 90, 92, 98, 99, 108, 112, 116, 117, 124, 126, 132, 140, 147, 148, 150, 153, 156, 162, 164, 171, 172, 175, 176, 180, 188, 192, 198, 200, 204, 207, 208, 212, 220, 228, 234, 236, 240, 242, 244 (list; graph; listen)
OFFSET

1,1

COMMENT

= Complement(Union(A002035, A000290)) = Intersection(A000037, A072587);

a(k)=A070011(k) for 0<k<=25, A070011(26)=120 is not a term, as 120=5*3*2^3 having only odd exponents (A002035(85)=120),

and a(54)=240 is not a term of A070011, as from 240=5*3*2^4 follows that A001222(240)/A001221(240)=6/3=2 is an integer.

CROSSREFS

Sequence in context: A030515 A070011 A084679 this_sequence A072357 A054753 A098899

Adjacent sequences: A072585 A072586 A072587 this_sequence A072589 A072590 A072591

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 23 2002

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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