A082909 a(n) = Sum_{d|n} (d mod 3).
1, 3, 1, 4, 3, 3, 2, 6, 1, 6, 3, 4, 2, 6, 3, 7, 3, 3, 2, 9, 2, 6, 3, 6, 4, 6, 1, 8, 3, 6, 2, 9, 3, 6, 6, 4, 2, 6, 2, 12, 3, 6, 2, 9, 3, 6, 3, 7, 3, 9, 3, 8, 3, 3, 6, 12, 2, 6, 3, 9, 2, 6, 2, 10, 6, 6, 2, 9, 3, 12, 3, 6, 2, 6, 4, 8, 6, 6, 2, 15, 1, 6, 3, 8, 6, 6, 3, 12, 3, 6, 4, 9, 2, 6, 6, 9, 2, 9, 3, 13, 3, 6
Offset: 1
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Mathematica
Table[Total[Mod[Divisors[n],3]],{n,110}] (* Harvey P. Dale, Jan 01 2019 *) Table[DivisorSum[n,Mod[#,3]&],{n,110}] (* Harvey P. Dale, Jan 09 2022 *)
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