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Search: id:A063880
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| A063880 |
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Numbers n such that sigma(n) = 2*usigma(n). |
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+0 4
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| 108, 540, 756, 1188, 1404, 1836, 2052, 2484, 3132, 3348, 3780, 3996, 4428, 4644, 5076, 5724, 5940, 6372, 6588, 7020, 7236, 7668, 7884, 8316, 8532, 8964, 9180, 9612, 9828, 10260, 10476, 10908, 11124, 11556, 11772, 12204, 12420, 12852, 13716, 14148
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Numbers so far are all == 108 mod 216. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Jul 07 2003. Confirmed up to 10^7 by Robert G. Wilson v.
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MATHEMATICA
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usigma[n_] := Block[{d = Divisors[n]}, Plus @@ Select[d, GCD[ #, n/# ] == 1 &]]; Select[ Range[ 14363], DivisorSigma[1, # ] == 2usigma[ # ] &] (from Robert G. Wilson v Aug 28 2004)
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PROGRAM
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(PARI) u(n) = sumdiv(n, d, if(gcd(d, n/d)==1, d)); j=[]; for(n=1, 30000, if(sigma(n)-u(n)==u(n), j=concat(j, n))); j
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CROSSREFS
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Cf. A000203, A048146, A034448, A097702.
Sequence in context: A044721 A095050 A138669 this_sequence A059436 A129027 A101213
Adjacent sequences: A063877 A063878 A063879 this_sequence A063881 A063882 A063883
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KEYWORD
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easy,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Aug 27 2001
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