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A056912 Odd square-free numbers for which the number of prime divisors is odd. +0
6
3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 105, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 165, 167, 173, 179, 181, 191, 193, 195, 197, 199, 211, 223, 227, 229, 231, 233, 239, 241, 251, 255 (list; graph; listen)
OFFSET

1,1

COMMENT

Liouville function lambda(n) (A008836) is negative.

m is a term iff mu(m)^m < 0 (A080323(a(n))<0), where mu is the Moebius function (A008683). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Feb 14 2003

REFERENCES

H. Gupta, A formula for L(n), J. Indian Math. Soc., 7 (1943), 68-71.

EXAMPLE

a(27) = 3*5*7 = 105 is the least nonprime.

CROSSREFS

Cf. A056911, A056913, A008836, A026424, A028260.

Sequence in context: A067019 A132106 A093893 this_sequence A075763 A074918 A006005

Adjacent sequences: A056909 A056910 A056911 this_sequence A056913 A056914 A056915

KEYWORD

easy,nonn

AUTHOR

James A. Sellers (sellersj(AT)math.psu.edu), Jul 07 2000

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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