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A023534 Numbers n such that the largest power of 2 dividing n equals 2^omega(n). 1
1, 2, 12, 20, 28, 36, 44, 52, 68, 76, 92, 100, 108, 116, 120, 124, 148, 164, 168, 172, 188, 196, 212, 236, 244, 264, 268, 280, 284, 292, 312, 316, 324, 332, 356, 360, 388, 404, 408, 412, 428, 436, 440, 452, 456, 484, 500, 504, 508, 520, 524, 548, 552, 556 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

omega(n) = A001221(n) is the number of distinct primes dividing n.

EXAMPLE

omega(12)=2 and 4=2^2 is the largest power of 2 dividing 12, hence 12 is in the sequence.

MATHEMATICA

Select[Range[600], IntegerExponent[#, 2]==PrimeNu[#]&] (* From Harvey P. Dale, June 26 2011 *)

CROSSREFS

Cf. A039700, A001221 (omega).

Sequence in context: A137311 A032407 A136725 * A121859 A145622 A174478

Adjacent sequences:  A023531 A023532 A023533 * A023535 A023536 A023537

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 04 2002

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.