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A066428
Numbers with mu = 0 and infinitary MoebiusMu = +1 (sum of binary digits of prime exponents is even).
3
8, 12, 18, 20, 27, 28, 32, 36, 44, 45, 48, 50, 52, 63, 64, 68, 75, 76, 80, 92, 98, 99, 100, 112, 116, 117, 120, 124, 125, 144, 147, 148, 153, 162, 164, 168, 171, 172, 175, 176, 188, 196, 207, 208, 212, 216, 225, 236, 242, 243, 244, 245, 261, 264, 268, 270, 272
OFFSET
1,1
LINKS
EXAMPLE
28 is in this sequence because its prime decomposition is 2^2* 7^1, it is not squarefree and the binary digits of "2" and "1" add up to 2, an even number.
MATHEMATICA
iMoebiusMu[ n_ ] := Switch[ MoebiusMu[ n ], 1, 1, -1, -1, 0, If[ OddQ[ Plus@@(DigitCount[ Last[ Transpose[ FactorInteger[ n ] ]], 2, 1 ]) ], -1, 1 ]]; Select[ Range[ 400 ], MoebiusMu[ # ]===0 && iMoebiusMu[ # ]===+1 & ]
PROG
(PARI) is(n)=my(f=factor(n)[, 2]); #f && vecmax(f)>1 && vecsum(apply(hammingweight, f))%2==0 \\ Charles R Greathouse IV, Oct 15 2015
CROSSREFS
Sequence in context: A212582 A046369 A376703 * A228056 A187042 A370650
KEYWORD
easy,nonn
AUTHOR
Wouter Meeussen, Dec 27 2001
STATUS
approved