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A229089
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Numbers n such that sigma(n) mod n < antisigma(n) mod n, where sigma(n) = A000203(n) = sum of divisor of n, antisigma(n) = A024816(n) = sum of non-divisors of n.
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4
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3, 5, 6, 7, 9, 11, 13, 14, 17, 18, 19, 20, 22, 23, 25, 26, 27, 28, 29, 31, 33, 34, 35, 36, 37, 38, 39, 41, 43, 46, 47, 48, 49, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 65, 66, 67, 69, 70, 71, 72, 73, 74, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93
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OFFSET
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1,1
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COMMENTS
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A229088 = numbers n such that sigma(n) mod n = antisigma(n) mod n,
A229090 = numbers n such that sigma(n) mod n > antisigma(n) mod n.
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LINKS
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EXAMPLE
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Number 11 is in sequence because sigma(11) mod 11 = 12 mod 11 = 1 < antisigma(11) mod 11 = 54 mod 11 = 10.
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MATHEMATICA
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Select[Range[100], Mod[Total[Complement[Range[#], Divisors[#]]], #]> Mod[ DivisorSigma[ 1, #], #]&] (* _Harvey P. Dale_, Jan 24 2022 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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_Jaroslav Krizek_, Oct 24 2013
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STATUS
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approved
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