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A352810
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Values taken both by sigma (A000203) and by antisigma (A024816), where sigma is the sum of divisors function and antisigma is the sum of the non-divisors of n less than n function.
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3
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3, 20, 32, 54, 96, 132, 168, 217, 240, 252, 294, 338, 350, 464, 465, 582, 819, 1052, 1080, 1182, 1280, 1476, 1710, 1953, 2220, 2484, 2786, 3080, 3200, 3402, 3708, 4074, 4404, 4440, 4680, 4794, 5250, 5670, 6064, 6080, 6576, 6900, 7248, 7458, 8000, 8442, 8514, 8940
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OFFSET
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1,1
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COMMENTS
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Common values attained by sigma and antisigma functions, in ascending order.
The asymptotic density of this sequence is 0 (according to 2nd comment of A002191).
The smallest integers k and m such that sigma(k) = antisigma(m) = a(n) are in A352811.
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LINKS
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EXAMPLE
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As sigma(31) = 1+31 = 32 and antisigma(9) = 1+2+4+5+6+7+8 = 32, then 32 is a term.
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MATHEMATICA
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m = 10^4; r = Range[m]; s = DivisorSigma[1, r]; as = r*(r + 1)/2 - s; Select[Intersection[s, as], # <= m &] (* Amiram Eldar, Apr 05 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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EXTENSIONS
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STATUS
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approved
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