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2, 6, 8, 12, 12, 24, 16, 24, 23, 36, 24, 48, 28, 48, 48, 48, 36, 69, 40, 72, 64, 72, 48, 96, 57, 84, 68, 96, 60, 144, 64, 96, 96, 108, 96, 141, 76, 120, 112, 144, 84, 192, 88, 144, 138, 144, 96, 192, 107, 171, 144, 168, 108, 204, 144, 192, 160
(list;
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refs;
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internal format)
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OFFSET
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1,1
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LINKS
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FORMULA
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Sum_{k=1..n} a(k) ~ (Pi^2/12)*(1 + 1/zeta(3)) * n^2. - Amiram Eldar, Apr 01 2024
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MATHEMATICA
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f1[p_, e_] := (p^(e + 1) - 1)/(p - 1); f2[p_, e_] := p^e + 1; a[n_] := Times @@ f1 @@@ (fct = FactorInteger[n]) + Times @@ f2 @@@ fct; a[1] = 2; Array[a, 100] (* Amiram Eldar, Apr 01 2024 *)
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PROG
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(PARI) usigma(n)= { local(f, s=1); f=factor(n); for(i=1, matsize(f)[1], s*=1 + f[i, 1]^f[i, 2]); return(s) } { for (n=1, 1000, write("b064212.txt", n, " ", sigma(n) + usigma(n)) ) } \\ Harry J. Smith, Sep 10 2009
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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