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A066427
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Numbers with mu = 0 and infinitary MoebiusMu = -1; (sum of binary digits of prime exponents is odd).
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1
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4, 9, 16, 24, 25, 40, 49, 54, 56, 60, 72, 81, 84, 88, 90, 96, 104, 108, 121, 126, 128, 132, 135, 136, 140, 150, 152, 156, 160, 169, 180, 184, 189, 192, 198, 200, 204, 220, 224, 228, 232, 234, 240, 248, 250, 252, 256, 260, 276, 288, 289, 294, 296, 297, 300, 306
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 54 is in this sequence because its prime decomposition is 2^1 * 3^3, it is not squarefree and the binary digits of "1" and "3" add up to 3, an odd number.
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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 & ]
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CROSSREFS
| Cf. A064179, A066428.
Sequence in context: A176238 A139588 A122986 * A161697 A078593 A168350
Adjacent sequences: A066424 A066425 A066426 * A066428 A066429 A066430
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KEYWORD
| easy,nonn
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AUTHOR
| Wouter Meeussen (wouter.meeussen(AT)pandora.be), Dec 27 2001
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