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A124656
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Abundant odious numbers. (Abundant numbers that have an odd number of ones in their binary representation).
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0
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42, 56, 70, 84, 88, 100, 104, 112, 138, 140, 162, 168, 174, 176, 186, 196, 200, 208, 220, 224, 234, 276, 280, 304, 324, 336, 342, 348, 352, 364, 372, 392, 400, 416, 426, 440, 448, 460, 468, 522, 532, 546, 552, 558, 560, 570, 572, 580, 608, 618, 620, 642, 644
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 56 is in the sequence because the sum of its divisors, 1+2+4+7+8+14+28+56=120 > 2*56 and its base 2 representation (111000) has an odd number of 1's.
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MAPLE
| with(numtheory): a:=proc(n) local n2: n2:=convert(n, base, 2): if add(n2[j], j=1..nops(n2)) mod 2 = 1 and sigma(n)>2*n then n else fi end: seq(a(n), n=1..750); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 01 2007
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CROSSREFS
| Intersection of A005101 (abundant numbers) and A000069 (odious numbers).
Sequence in context: A043136 A039313 A043916 * A002706 A080971 A039384
Adjacent sequences: A124653 A124654 A124655 * A124657 A124658 A124659
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KEYWORD
| base,nonn
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AUTHOR
| Tanya Khovanova (tanyakh(AT)yahoo.com), Dec 27 2006
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 01 2007
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