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A064175 Numbers n such that infinitary Moebius function of n (A064179) equals -1. +0
3
2, 3, 4, 5, 7, 9, 11, 13, 16, 17, 19, 23, 24, 25, 29, 30, 31, 37, 40, 41, 42, 43, 47, 49, 53, 54, 56, 59, 60, 61, 66, 67, 70, 71, 72, 73, 78, 79, 81, 83, 84, 88, 89, 90, 96, 97, 101, 102, 103, 104, 105, 107, 108, 109, 110, 113, 114, 121, 126, 127, 128, 130, 131, 132 (list; graph; listen)
OFFSET

1,1

REFERENCES

J. Lambek and L. Moser, On some two way classifications of integers, Canad. Math. Bull. 2 (1959), 85-89.

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 22.

LINKS

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

EXAMPLE

mu[60]=0 but iMoebiusMu[60]=-1 because 60 = 2^2 *3^1 *5^1 and the binary digits of 2 and 1 and 1 add up to 3, an odd number.

MATHEMATICA

iMoebiusMu[ n_ ] := Switch[ MoebiusMu[ n ], 1, 1, -1, -1, 0, If[ OddQ[ Plus@@(DigitCount[ Last[ Transpose[ FactorInteger[ n ] ] ], 2, 1 ]) ], -1, 1 ] ];

CROSSREFS

Complement of A064176. Cf. A000028, A000379.

Sequence in context: A008732 A130520 A005706 this_sequence A000028 A026416 A123193

Adjacent sequences: A064172 A064173 A064174 this_sequence A064176 A064177 A064178

KEYWORD

nonn,nice,easy

AUTHOR

Wouter Meeussen (wouter.meeussen(AT)pandora.be), Sep 17 2001

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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