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A028260 Numbers n such that number of prime divisors of n (counted with multiplicity) is even; Liouville function lambda(n) (A008836) is positive. +0
15
1, 4, 6, 9, 10, 14, 15, 16, 21, 22, 24, 25, 26, 33, 34, 35, 36, 38, 39, 40, 46, 49, 51, 54, 55, 56, 57, 58, 60, 62, 64, 65, 69, 74, 77, 81, 82, 84, 85, 86, 87, 88, 90, 91, 93, 94, 95, 96, 100, 104, 106, 111, 115, 118, 119, 121, 122, 123, 126, 129, 132, 133, 134 (list; graph; listen)
OFFSET

1,2

COMMENT

If n appears, p*n does not (p primes) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jun 10 2006

The product of any two members of the this sequence, or any two members of the complement of this sequence (A026424) is a member of this sequence. The product of a member of this sequence and a member of A026424 is a member of A026424. The primitive elements of this sequence are the semiprimes (A001358). - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 27 2006

A072978 is a subsequence. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 20 2008]

A066829(a(n)) = 0. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 26 2009]

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

FORMULA

Numbers n such that A069089(n)=A023900(n) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 07 2002

CROSSREFS

Cf. A008836, A026424.

Cf. A001222, A001358.

Cf. A145784. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 19 2008]

Sequence in context: A120329 A123249 A010428 this_sequence A085155 A063762 A001358

Adjacent sequences: A028257 A028258 A028259 this_sequence A028261 A028262 A028263

KEYWORD

nonn,easy,nice

AUTHOR

Dan Asimov (dan(AT)research.att.com)

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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