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A073931
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Numbers n such that the sum of the anti-divisors of n = 2n.
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2
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OFFSET
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1,1
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COMMENTS
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See A066272 for definition of anti-divisor.
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LINKS
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MATHEMATICA
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antiDivisorSum[n_] := Total[Select[Range[2, n - 1], Abs[Mod[n, #] - #/2] < 1 &]]
Select[Range[1, 1600], antiDivisorSum[#] == 2*# &] (* Julien Kluge, Sep 19 2016 *)
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PROG
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(Python)
from sympy import divisors
A073931 = [n for n in range(3, 10**5) if sum([2*d for d in divisors(n) if n > 2*d and n % (2*d)] + [d for d in divisors(2*n-1) if n > d >=2 and n % d] + [d for d in divisors(2*n+1) if n > d >=2 and n % d]) == 2*n]
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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STATUS
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approved
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