Search: id:A124656
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%I A124656
%S A124656 42,56,70,84,88,100,104,112,138,140,162,168,174,176,186,196,200,208,220,
%T A124656 224,234,276,280,304,324,336,342,348,352,364,372,392,400,416,426,440,
%U A124656 448,460,468,522,532,546,552,558,560,570,572,580,608,618,620,642,644
%N A124656 Abundant odious numbers. (Abundant numbers that have an odd number of 
               ones in their binary representation).
%e A124656 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.
%p A124656 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
%Y A124656 Intersection of A005101 (abundant numbers) and A000069 (odious numbers).
%Y A124656 Sequence in context: A043136 A039313 A043916 this_sequence A002706 A080971 
               A039384
%Y A124656 Adjacent sequences: A124653 A124654 A124655 this_sequence A124657 A124658 
               A124659
%K A124656 base,nonn
%O A124656 1,1
%A A124656 Tanya Khovanova (tanyakh(AT)yahoo.com), Dec 27 2006
%E A124656 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 01 2007

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